Question

4x^2+12x+x=45
please solve line by line ​

Answer 1

Answer:

How to solve your question

Your question is

42+12+=45

4x^{2}+12x+x=454x2+12x+x=45

Quadratic formula

1

Combine like terms

42+12+=45

42+13=45

3 Use the quadratic formula

$x = - b + \sqrt{b {}^{2} } - 4ac$

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

42+13−45=0

a= 4

b= 13

=−45

=−13±132−4⋅4(−45)√2⋅4

4

Move terms to the left side

42+13=45

42+13−45=0

Evaluate the exponent

Multiply the numbers

Add the numbers

Multiply the numbers

=−13±889√2⋅4

=−13±889√8

=−13±889√8

5

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

=−13+889√8

=−13−889√8

6

6

Solve

Rearrange and isolate the variable to find each solution

=−13+889√8

=−13−889√8

Solution

Solution

=−13±889√8

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