Use the discriminant to determine the number of real solutions of the equation. x^{2}=6x-9

DofotheroU

DofotheroU

Answered question

2021-05-16

Use the discriminant to determine the number of real solutions of the equation.
x2=6x9

Answer & Explanation

liannemdh

liannemdh

Skilled2021-05-18Added 106 answers

Step 1
The given equation is x2=6x9
for a quadratic equation ax2+bx+c=0, the discriminant is D=b24ac.
if D > 0, then the equation has two distinct real solutions.
if D=0, then the equation has exactly one real solution.
if D>0, then the equation has no real solutions.
Step 2
Rewrite the equation as follows.
x2=6x9
x26x+9=0
here a = 1, b = -6 and c = 9.
now,
D=b24ac
=(6)24(1)(9)
=36-36
=0
Since D=0, the equation has exactly one real solution.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-19Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?