Question

solve for X., 4 x square - 2 (a square + b square ) X + a square b square is equal to zero?????

Answer 1

Answer:

$x =\frac{a^{2}}{2}\:Or\:x=\frac{b^{2}}{2}$

Step-by-step explanation:

Given quadratic equation:

4x²-2(a²+b²)x+a²b²=0

Splitting the middle term, we get

=> 4x²-2a²x-2b²x+a²b²=0

=> 2x(2x-a²)-b²(2x-a²)=0

=> (2x-a²)(2x-b²)=0

=> 2x-a² = 0 Or 2x-b² = 0

=> 2x = a² Or 2x = b²

$\implies x =\frac{a^{2}}{2}\:Or\:x=\frac{b^{2}}{2}$

Therefore,

$x =\frac{a^{2}}{2}\:Or\:x=\frac{b^{2}}{2}$

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Answer 2

Step-by-step explanation:

x=

2

a

2

Orx=

2

b

2

Step-by-step explanation:

Given quadratic equation:

4x²-2(a²+b²)x+a²b²=0

Splitting the middle term, we get

=> 4x²-2a²x-2b²x+a²b²=0

=> 2x(2x-a²)-b²(2x-a²)=0

=> (2x-a²)(2x-b²)=0

=> 2x-a² = 0 Or 2x-b² = 0

=> 2x = a² Or 2x = b²

\implies x =\frac{a^{2}}{2}\:Or\:x=\frac{b^{2}}{2}⟹x=

2

a

2

Orx=

2

b

2

Therefore,

x =\frac{a^{2}}{2}\:Or\:x=\frac{b^{2}}{2}x=

2

a

2

Orx=

2

b

2