4x^2-4ax-(a^2-b^2)=0
solve (with explanation) right answer will be marked as brainlist answer
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Answered by
1
Step-by-step explanation:
The given quadratic equation is 4x
2
−4ax+(a 2−b 2)=0
4x 2−4ax+(a+b)(a−b)=0
⇒4x 2+[−2a−2a+2b−2b]x+(a−b)(a+b)=0
⇒4x 2+(2b−2a)x−(2a+2b)x+(a−b)(a+b)=0
⇒4x 2+2(b−a)x−2(a+b)x+(a−b)(a+b)=0
⇒2x[2x−(a−b)]−(a+b)[2x−(a−b)]=0
⇒[2x−(a−b)][2x−(a+b)]=0
⇒2x−(a−b)=0,2x−(a+b)=0
⇒x= 2a+b
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answer for the given problem is given
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