Question

4xsquare +4bx-(asqure -b square) = 0

Answer 1

$\bold{ \huge{ \underline{ \fbox{ANSWER:;}}}}$

QUESTION:-

4x²+4bx-(a²-b²)=0

$\bold{Define \: \: the \: \: Equation}$

4x²+4bx-(a²-b²)=0

$\bold{\underline{Solving \: \: the \: Equation \: \: by \: formula}}$

$\bold{ {a}^{2} - {b}^{2} = (a + b)(a - b)}$

$\bold{ \underline{Solving \: \: by \: Splitting \: Method}}$

4x²+4bx-(a²-b²)=0

4x²+4bx-{(a+b)(a-b)}=0

4x²+4bx-a-b-a-b=0

4x²+4bx-2a-2b=0

4x²+4bx-(2a+2b)=0

4x²+2(b+a)x +2(b-a)x-(a+b)(a-b)

2x(2x+a+b)-(b-a)(2x+a+b)

(2x+a+b)(2x-b+a)

$\bold{find \: the \: \: value \: of \: x}$

2x+a+b=0

2x=-(a-b)

x=-(a-b)/2

$\bold{find \: \: the \: other \: value \: of \: x}$

2x-b+a=0

2x=-(a+b)

x=-(a+b)/2

$\bold{ \underline{conclusion}}$

x= -(b-a)/2

x=(b-a)/2