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Popular >

x^2-10x+25=(x-a)^2

Solution

x^{2} - 10 x + 25 = (x - a)^{2}

Solution

x = \frac{a + 5}{2}; a \neq = 5

Solution steps

x^{2} - 10 x + 25 = (x - a)^{2}

Expand

(x - a)^{2} : x^{2} - 2 a x + a^{2}

x^{2} - 10 x + 25 = x^{2} - 2 a x + a^{2}

Move

25

to the right side

x^{2} - 10 x = x^{2} - 2 a x + a^{2} - 25

Subtract

x^{2} - 2 a x

from both sides

x^{2} - 10 x - (x^{2} - 2 a x) = x^{2} - 2 a x + a^{2} - 25 - (x^{2} - 2 a x)

Simplify

2 a x - 10 x = a^{2} - 25

Factor

2 a x - 10 x : 2 x (a - 5)

2 x (a - 5) = a^{2} - 25

Divide both sides by

2 (a - 5); a \neq = 5

x = \frac{a + 5}{2}; a \neq = 5

Popular Examples

0.25(5x-4)=0.05(10x-5)

0.25 (5 x - 4) = 0.05 (10 x - 5)

a= 1/((5+2sqrt(6)))-1/((5-2sqrt(6)))

a = \frac{1}{( 5 + 2 6 )} - \frac{1}{( 5 - 2 6 )}

f(x)(x^2)=f(x)(x)^2

f (x) (x^{2}) = f (x) (x)^{2}

solvefor x,5x+3y=-2 solve for

x, 5 x + 3 y = - 2

solvefor x,9x-3y=9 solve for

x, 9 x - 3 y = 9

Frequently Asked Questions (FAQ)

What is the answer to x^2-10x+25=(x-a)^2 ?
The answer to x^2-10x+25=(x-a)^2 is x=(a+5)/2 ;\quad a\ne 5