9 x - 2-9 a - b x -2 a 1 2 - 5 ab -2 b - 2 -0

Consider, 9x2 9(a+b)x+(2a2+5ab+2b2)=0 9x2 9(a + b)x + (2a2 + 4ab + ab + 2b2) = 0 9x2 9(a + b)x + [2a(a + 2b) + b(a + 2b)] = 0 9x2 9(a + b)x + [(a + 2b)(2a ...

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Byju's Answer

Standard VIII

Mathematics

Polynomials

9 x ∧ 2-9 a +...

Question

9x^2-9 (a+b)x +(2a^2×5ab+2b^2)=0

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Solution

Consider, 9x²-9(a+b)x+(2a²+5ab+2b²)=0
9x²- 9(a + b)x + (2a²+ 4ab + ab + 2b²) = 0
9x²- 9(a + b)x + [2a(a + 2b) + b(a + 2b)] = 0
9x²- 9(a + b)x + [(a + 2b)(2a + b)] = 0
9x²– 3[(a + 2b) + (2a + b)]x + [(a + 2b)(2a + b)] = 0
9x²– 3(a + 2b)x - 3(2a + b)x + [(a + 2b)(2a + b)] = 0
3x[3x – (a + 2b)] - (2a + b)[3x + (a – 2b)] = 0
[3x – (a + 2b)][3x - (2a + b)] = 0
[3x – (a + 2b)] = 0 or [3x - (2a + b)] = 0
3x = (a + 2b) or 3x = (2a + b)
x = (a + 2b)/3 or x = (2a + b)/3

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Similar questions

When we use the formula for this quadratic equation 9x^2-9 (a+b)x +(2a^2×5ab+2b^2)=0

Solve ax²-9(a+b)x+(2a²+5ab+2b²)=0

Solve for x $: 9 x^{2} - 9 (a + b) x + (2 a^{2} + 5 a b + 2 b^{2}) = 0$ by the quadratic polynomial.

Q. Solve each of the following quadratic equations:

9 x^{2} - 9 (a + b) x + (2 a^{2} + 5 a b + 2 b^{2}) = 0

[CBSE 2009]

Q. Solve the following equation for

x

9 x^{2} - 9 (a + b) x + (2 a^{2} + 5 a b + 2 b^{2}) = 0

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