What is the answer to this quadratic: 0=-2a^{2}+-2b-12 -2a^{2}+2b-12=0

elvishwitchxyp

elvishwitchxyp

Answered question

2021-12-20

What is the answer to this quadratic:
0=2a2±2b12
2a2+2b12=0

Answer & Explanation

censoratojk

censoratojk

Beginner2021-12-21Added 46 answers

Step 1
2a2+2b12=0 is not a solvable quadratic. I will assume you meant
2x2+2x12
The quadratic formula is:
b±b2(4ac)2a
2±22(4×212)2×2
2±4(96)4
2±1004
2±104
124 or 84
The answer is x=3 or x=2
Navreaiw

Navreaiw

Beginner2021-12-22Added 34 answers

Step 1
Given equation: 2a2+2b12=0
Quadratic equations like this one, with an x2 term but no x term, can still be solved using the quadratic formula, b±b24ac2a, once they are put in standard form: ax2+bx+c=0
This equation is in standard form: ax2+bx+c=0
Substitute 2 for a, 0 fro b, and 12+2b for c in the quadratic formula, b±b24ac2a
a=0±024×2(2b12)2×2
Square 0
a=0±4×2(2b12)2×2
Multiply -4 times 2
a=0±8(2b12)2×2
Multiply -8 times 12+2b
a=0±9616b2×2
Take the square root of 9616b
a=0±46b2×2
Multiply 2 times 2
a=0±46b4
Now solve the equation a=0±46b4 when ± is plus and minus
a=6b
a=6b
RizerMix

RizerMix

Expert2021-12-29Added 656 answers

Step 1
2a2+2b12=0
Subtract 2a2 from both sides. Anything subtracted from zero gives its negation.
2b12=2a2
Add 12 to both sides
2b=2a2+12
The equation is in standard form.
2b=122a2
Divide both sides by 2
2b2=122a22
Dividing by 2 undoes the multiplication by 2.
b=122a22
Divide 2a2+12 by 2
b=6a2

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?