Solve each equation by factoring or by using the quadratic

Vikolers6

Vikolers6

Answered question

2021-12-16

Solve each equation by factoring or by using the quadratic formula. If the solutions involve square roots, give both the exact solutions and the approximate solutions to three decimal places.
12x25x=2

Answer & Explanation

intacte87

intacte87

Beginner2021-12-17Added 42 answers

Step 1
We have to solve the quadratic equation:
12x25x=2
Rewriting the quadratic equation,
12x25x=2
12x25x2=0
Solving by using factorization of middle term splitting method:
Here,
12×(2)=24
=8×3
for middle term,
-8+3=-5
Step 2
So solving the quadratic equation by factorization method, we get
12x25x2=0
12x28x+3x2=0
4x(3x-2)+1(3x-2)=0
(3x-2)(4x+1)=0
Therefore,
3x-2=0
3x=2
x=23
and,
4x+1=0
4x=-1
x=14
Hence, solutions of the quadratic equation are x=23,14.
rodclassique4r

rodclassique4r

Beginner2021-12-18Added 37 answers

I also need an answer to this question.

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?