# How do you solve #x^2+9=10x#?

##### 2 Answers

1 and 9

#### Explanation:

Find 2 real roots, knowing sum (-b = 10) and product (c = 9).

They are 1 and 9.

#### Explanation:

#color(blue)(x^2+9=10x#

Subtract

Rewrite the equation in Standard form (

This is a Quadratic formula

#color(brown)(x=(-b+-sqrt(b^2-4ac))/(2a)#

Remember that

So,

#color(violet)(a=1#

#color(violet)(b=-10#

#color(violet)(c=9#

Remember that

Which implies that,

#color(indigo)(x=5+4=9#

#color(orange)(x=5-4=1#

#color(blue)( ul bar |x=9,1|#

If you are confused with the Quadratic formula

Watch