How do you factor and solve $X^2 + 100 = 20X$ ?

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Answer 1 · 2016-10-02T15:13:38

$x=10$

$x^2+100=20x$

$x^2 color(white)(aaaaaa)+100=color(white)a20x$
$color(white)(aa)-20xcolor(white)(aaaaaaa)-20xcolor(white)(aaa)$ Subtract $20x$ from both sides.

$x^2-20x+100=0$
$(x-10)(x-10)=0color(white)(aaaaa)$ Factor

$x-10=0color(white)(aaa)x-10=0color(white)(aaa)$ Set each factor equal to zero

$x-10=color(white)(aa)0$
$color(white)(a)+10color(white)(aa)+10color(white)(aaa)$ Add 10 to both sides

$x=10$

How do you factor and solve X^2 + 100 = 20XX^2 + 100 = 20X?