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If roots of the equation a 2+b 2 x 2

WebGiven quadratic equation is (a−b)x2+(b−c)x+(c−a) =0Since the root are equal, discriminant of the quadratic equation =0Comparing above equation with the standard form … WebClick here👆to get an answer to your question ️ If a, b are the roots of x^2 + x + 1 = 0 then a^2 + b^2 is equal to. Solve Study Textbooks Guides. Join / Login. Question . ... If the sum of the roots of the equation a x 2 + b x + c = 0 is equal to product of their reciprocal, ...

If a and b are roots of the equation x^2 + a x + b = 0, then a + b …

WebIn mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical … Web1 feb. 2024 · If the root of the quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are equal show that a=b=c. - 2439482. shaikasifahamed2845 shaikasifahamed2845 01.02.2024 Math Secondary School answered • expert verified kitchen world commercial youtube https://florentinta.com

Geometrical properties of polynomial roots - Wikipedia

Web28 mrt. 2024 · Transcript. Question 2 Let p be a prime number. The quadratic equation having its roots as factors of p is (a) x2 – px + p = 0 (b) x2 – (p + 1)x + p = 0 (c) x2 + (p + 1)x + p = 0 (d) x2 – px + p + 1=0We need to find quadratic equation having its roots as factors of p is Since p is a prime number Factors of p = 1, p Thus, we need to find … WebSolve for b. b = x2 + y 2 − a2. b = − x2 + y 2 − a2, ∣a∣ ≤ x2 + y 2. Steps by Finding Square Root. Steps Using the Quadratic Formula. View solution steps. WebIf the roots of the equation (a2+b2)x2−2(ac+bd)x+(c2+d2) =0 are equal, prove that a b= c d Solution For an equation the nature of the roots can be determined by the value of D. … mafia boss background gmeet

Is the roots of the equation x2+2 c x+a b=0 are real and ... - Byju

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If roots of the equation a 2+b 2 x 2

If the roots of the equation ax2+2bx+c=0 and bx2 2√acx+b=0 …

WebSolution The given quadratic equation is (a 2 + b 2 )x 2 − 2 (ac + bd)x + (c 2 + d 2) = 0. If the roots of given quadratic equation are equal, then its discriminant is zero. ∴ D = [ - 2 ( a c + b d) 2] - 4 ( a 2 + b 2) ( c 2 + d 2) = 0 ⇒ 4 ( a 2 c 2 + b 2 d 2 + 2 a b c d) - 4 ( a 2 c 2 + a 2 d 2 + b 2 c 2 + b 2 d 2) = 0 Web14 apr. 2024 · If the roots of the equation \( b x^{2}+c x+a=0 \) is imaginary, then for all real values of \( x \), the expression \( 3 b^{2} x^{2}+6 b c x+2 c^{2} \) is📲......

If roots of the equation a 2+b 2 x 2

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Web15 jul. 2024 · If the roots of the equation (c^2 - ab)x^2 - 2(a^2 - bc) x + b^2 - ac = 0 are equal, prove that either a = 0 or a^3 + b^3 + c^3 = 3abc. askedMay 1, 2024in Quadratic … Web19 aug. 2024 · 1 If and if one root of the equation is the square of the other, prove that: My Attempt: Given: Let and be the roots of the equation. According to the question: …

Web24 nov. 2024 · Explanation: As the roots of a(b −c)x2 +b(c −a)x + c(a −b) = 0 are equal, the discriminant of the equation is 0 i.e. b2(c − a)2 = 4ac(b −c)(a − b) or b2(c2 −2ac + a2) = 4ac(ab −ac +bc − b2) or b2c2 − 2acb2 +a2b2 = 4a2bc − 4a2c2 +4abc2 − 4acb2 or 4a2c2 +a2b2 − 4a2bc −4abc2 + 2acb2 + b2c2 = 0 or a2(4c2 + b2 − 4bc) − 2abc(2c − b) + b2c2 … WebClick here👆to get an answer to your question ️ The nature of straight lines represented by the equation \( 4 x ^ { 2 } + 12 x y : 9 y ^ { 2 } = 0 \) is A. Real and coincident B. Real …

WebCorrect option is B) (a 2+b 2)x 2−2(ac+bd)x+(c 2+d 2)=0 has equal roots. Therefore, discriminant =0. Thus [2(ac+bd)] 2+4(a 2+b 2)(c 2+d 2) ⇒a 2c 2+b 2d 2+2ac.bd=a 2c … WebClick here👆to get an answer to your question ️ The nature of straight lines represented by the equation \( 4 x ^ { 2 } + 12 x y : 9 y ^ { 2 } = 0 \) is A. Real and coincident B. Real and different C. Imaginary and different D. None of the above

Web14 apr. 2024 · Let \( \alpha, \beta \) be the roots of the equation \( x^{2}+a x+b=0 \) and \( \gamma, \delta \) be the roots of \( x^{2}-a x+b-2=0 \). If \( \alpha \beta \...

Web1 feb. 2024 · If the root of the quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are equal show that a=b=c. - 2439482. shaikasifahamed2845 shaikasifahamed2845 … kitchen worktops south africaWeb12 mrt. 2024 · Hint: At first, we will find the discriminant of the given quadratic equation. The nature of the roots of a quadratic equation depends on the discriminant. From the discriminant, we can find the relationship between \[a,b,c\]. kitchen world at china mallWeb23 jan. 2024 · Find the roots of the following equations, if they exist, by applying the quadratic formula: a^2b^2x^2 - (4b^4 - 3a^4)x - 12a^2b^2 = 0,a ≠ 0 and b ≠ 0 asked Jul … mafia boss background zoom