Question

Solve for x, 4x² + 4bx - (a²-b²) = 0

Remember to:
~ Use the quadratic formula
~ Show both the methods of solving if possible
~ Give clear explanation
~ Never copy

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Answer 1

Consider the given equation.

4x

2

+4bx−(a

2

−b

2

)=0

4x

2

+4bx+b

2

−a

2

=0

(2x+b)

2

−a

2

=0

(2x+b−a)(2x+b+a)=0

2x+b−a=0 Or 2x+b+a=0

x=

2

a−b

Or x=−

2

a+b