# How do you solve #x^2+10x=3# by completing the square?

##### 1 Answer

Mar 27, 2016

#### Answer:

See explanation...

#### Explanation:

Add

#x^2+10x+25 = 28#

The left hand side is equal to

#(x+5)^2 = 28 = 2^2*7#

Hence:

#x+5 = +-sqrt(2^2*7) = +-2sqrt(7)#

So:

#x = -5+-2sqrt(7)#

**More Info**

In general, we find:

#ax^2+bx+c = a(x+b/(2a))^2 + (c - b^2/(4a))#

From which we can derive the quadratic formula for zeros of

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