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Solve the quadratic equations 2x^{2}+ax-a^{2}=0 for x.

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Solve the quadratic equations $2 x^{2} + a x - a^{2} = 0$ for $x$ .

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Solve the quadratic equations

2 x^{2} + a x - a^{2} = 0

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x

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Text solutionVerified

solve :-

2 x^{2} + a x - a^{2} = 0

2 x^{2} + a x - a^{2} = 0

2 x^{2} + 2 a x - a x - a^{2} = 0

2 x (x + a) - a (x + a) = 0

(x + a) (2 x - a) = 0

x + a = 0, 2 x - a = 0

x = - a, 2 x = a

x = a /2

∴ x = - a, x = a /2

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Question Text	Solve the quadratic equations $2 x^{2} + a x - a^{2} = 0$ for $x$ .
Answer Type	Text solution:1
Upvotes	150