Question

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

Answer 1

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

Answer 2

Quadratic equation is the polynomial equation whose highest power of the variable is two. The standard form of the given equation is,

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

The factor roots of the equation are -2 and 8.

Given information-

The quadratic equation given in the problem is,

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

Quadratic equation-

Quadratic equation is the polynomial equation whose highest power of the variable is two. Quadratic equation is the equation which involves only one unknown variable.

The standard form of the quadratic equitation can be given as,

$ax^2+bx+c=0$

Here, a,b and c are the known variables and x is the unknown.

Convert the given equation in the standard form,

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

Equate the above equation to the zero and bring all the variables and constant one side,

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

Arrange the equation with the power of x,

$\begin{aligned}\\ x^2-16x-30-6&=0\\ x^2-16x-36&=0\\ \end$

Factored the above equation,

$\begin{aligned}\\x^2-16x-36&=0\\x^2+2x-18x-36&=0\\x(x+2)-18(x+2)&=0\\(x+2)(x-18)&=0\\\end$

equate them to the zero we get,

$x=-2, 18$

Hence the standard form of the given equation is,

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

The factor roots of the equation are -2 and 8.

Learn more about the quadratic equation here;

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