Write the quadratic equation in general quadratic form below 3x^2 + 6x = 12

Mathematics

2 answers:

scZoUnD [109]2 years ago

5 0

Answer: $3x^{2}+6x-12=0$

Step-by-step explanation:

By definition a quadratic equation in general quadratic form is:

$ax^{2}+bx+c=0$

Therefore, to write the equation given in the problem above in in general quadratic form, you only need to subtract 12 from both sides of the equation.

Keeping this on mind, you obtain:

$3x^{2}+6x-12=12-12\\3x^{2}+6x-12=0$

Ilya [14]2 years ago

5 0

Answer:

3x²+6x-12 = 0

Step-by-step explanation:

We have given a quadratic equation.

3x²+ 6x = 12

We have to rewrite above equation in general quadratic equation.

The general form of quadratic equation is:

ax²+bx+c = 0 where a,b and c are constant.

Adding -12 to both sides of given equation, we have

3x²+6x+(-12) = 12+(-12)

3x²+6x-12 = 12-12

3x²+6x-12 = 0 is general form of quadratic equation where a = 3,b = 6 and c = -12.

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Follow the steps to solve for the variable in this two-step equation:

lesya692 [45]

The solution of the equation is x = 2

Step-by-step explanation:

The original equation is

$5x-10 = 0$

We solve it using the following steps:

1) We apply the addition property of equality: by adding the same factor on both sides of the equation, the equation does not change.

In this case, we add +10 on both sides, and we get:

$5x-10+10=0+10\\5x=10$

2) We apply the division property of equality: by dividing both sides of the equation by the same number (different from zero), the equation does not change.

In this case, we divide both sides of the equation by 5, and we get:

$\frac{5x}{5}=\frac{10}{5}\\x=2$