How do you solve x^{2}-x=12?

Nylah Church

Nylah Church

Answered question

2022-01-22

How do you solve x2x=12?

Answer & Explanation

bemolizisqt

bemolizisqt

Beginner2022-01-23Added 16 answers

We can use the Sum-Product method.
Bring everything to one side:
x2x=12x2x12=0
We now have a quadratic equation of the form
ax2+bx+c=0 where a=1,b=1 and c=12
We find two numbers that will give c=12 as a product and b=1 as a sum (or difference).
We can try 112,26,34
3 and 4 will fit, with a - sign to the 4, as that would make the sum 34=1 and the product 34=12
Now we can rewrite the equation:
(x+3)(x4)=0
Which leaves us with two possibilities:
(x+3)=0x=3 or (x4)=0x=4
Answer: x=3 or x=4

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