# How many solutions does the equation #x^2 - 16x + 64 = 0# have?

##### 2 Answers

Aug 19, 2016

Conventionally, we say that the eqn. has

#### Explanation:

Conventionally, we say that the eqn. has

Aug 20, 2016

For the quadratic equation

- If
#Delta>0# , the equation has two real roots. - If
#Delta=0# , the equation has a single double root. - If
#Delta<0# , the equation has no real solutions.

So, for

#Delta=b^2-4ac=(-16)^2-4(1)(64)=256-256=0#

Since