Solve quadratic equation. 3x^{2}-4x=4

Brennan Flores

Brennan Flores

Answered question

2021-09-15

Solve quadratic equation.
3x24x=4

Answer & Explanation

diskusje5

diskusje5

Skilled2021-09-16Added 82 answers

Step 1
According to the question, we have to find the solution of quadratic equation 3x24x=4 and find the value of x.
Solving of quadratic equation means finding the roots of the equation and the roots of equation is the value of x.
We can find the roots of any equation by factorising the expression.
Step 2
Rewrite the given equation,
3x24x=4
Solving further,
3x24x4=0
Now factorising the expression by splitting of middle term, so we have to find two numbers which gives -12 on multipling and adding gives -4.
The two numbers are -6 and 2 ,which gives -12 on multipling and gives -4 on adding,so the expression becomes,
3x26x+2x4=0
3x(x-2)+2(x-2)=0
(3x+2)(x-2)=0
For the value of x,
3x+2=0 or x-2=0
x=23 or x=2
Hence, the solution of quadratic equation 3x24x=4 is 23 and 2.

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