Question

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?

Answer 1

Answer:

The standard form of quadratic equation is $x^2-16x-36=0$

The factored form of $x^2-16x-36=0$ is $(x+2)(x-18)=0$

Step-by-step explanation:

Given equation $x^2-6=16x+30$

We have to write  in standard form and then factorize the given equation.

The standard form for a general quadratic equation is given as $ax^2+bx+c=0$

Consider $x^2-6=16x+30$

Taking all terms to left side, we have,

$x^2-6-16x-30=0$

Adding like terms, we have,

$x^2-16x-36=0$

Now we will factorize it.

We will solve the quadratic equation $x^2-16x-36=0$ using middle term splitting method,

-16x can be written as -18x+2x

$x^2-16x-36=0$  becomes

$\Rightarrow x^2-18x+2x-36=0$

Taking x common from first two terms  and 2 common from last two terms we have,

$\Rightarrow x(x-18)+2(x-18)=0$

$\Rightarrow (x+2)(x-18)=0$

Thus, the factored form of $x^2-16x-36=0$ is $(x+2)(x-18)=0$

Answer 2

Answer:

If your doing edgunity 2020 the correct as were are x=-2 or x=18 for second one on bottom then top is (x-18)(x+2)=0

Step-by-step explanation:

It’s asking about being written in standard form then factored those are the only two that can be rewritten in standard form then factored