First use the discriminant to determine whether the equation has two nonreal com

Cheyanne Leigh

Cheyanne Leigh

Answered question

2021-10-01

First use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. Then solve the equation.
3x2+4=2

Answer & Explanation

i1ziZ

i1ziZ

Skilled2021-10-02Added 92 answers

Step 1
Given:
3x2+4=2
To solve:
The given quadratic equation.
Step 2
Consider, the given equation
3x2+4=2
3x2+4x2=0
First to find the discriminant of the equation.
Discriminant is the part of the quadratic formula underneath the square root symbol. The quadratic formula is,
x=b±b24ac2a
Discriminant is, b24ac
Compare the given equation with, ax2+bx+c=0
a=3,b=4,c=2
Step 3
b24ac=424(3)(2)=16+24=40=210
Given polynomial has two real solutions.
Now to solve the polynomial
x=b±b24ac2a
=4±424(3)(2)2(3)
=4±406
=4±2106
=2±103
x=2±103
Result:
Solutions of the given polynomial are,
x=2+103,x=2103

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?