Question

Use the value of the discriminant to determine the number and type of roots for the equation.

x^2 = 4x - 4

Answer 1

d=0; discriminant equals zero

this means there is one real root for the equation

Explanation:

the discriminant is d=b^2-4ac

so we can write our equation in the format to subsitute

ax^2+bx+c=0

x^2 = 4x - 4

so...

1x^2 - 4x + 4 = 0

so

a= 1

b=-4

c=4

now subsitute

d= b^2-4ac

d= -4^2-4(1)(4)

d=16-16

d=0

The discrimant equals zero.

when the discriminant equal zero we know that there is one real root for the equation.

hope this helped!