Question

5.Solve the quadratic equation.

x
2
−
10
x
+
25
=
0
x2-10x+25=0

A.
x = 5 or 
−
5
-5

B.
x = 5

C.
x = 
−
5
-5

D.
no real solution

Answer 1

x=5 twice

Explanation:

x^2-10x+25=0

multiply the coefficient of x^2 and the last term

1X25=25

find two numbers you can multiply to get 25 and add to get -10

-5 + (-5)=-10 the middle term

replace -10x with -5x -5x and solve the equation

x^2-5x-5x+25=0

factorise by grouping

x(x-5)-5(x-5)=0

(x-5)(x-5)=0

Either x-5=0,x=5 or x-5=0,x=5

Therefore x=5 twice.