Question

What is x square minus 6 equal 16x plus 30 rewritten in standard form , then factored ?

Answer 1

The equation x^2 - 6 = 16x + 30 rewritten in standard form is x^2 - 16x - 36 = 0, and the factored form is (x - 18)(x + 2) = 0.

Step-by-step explanation:

To rewrite the equation x² - 6 = 16x + 30 in standard form, we need to move all terms to one side of the equals sign, resulting in a quadratic equation.

First, subtract 16x and 30 from both sides:

x² - 16x - 6 - 30 = 0

Now combine like terms:

x² - 16x - 36 = 0

This is the standard form of the quadratic equation.

Next, to factor the equation, look for two numbers that multiply to -36 and add up to -16. These numbers are -18 and 2.

So, the factored form of the quadratic equation is:

(x - 18)(x + 2) = 0

Answer 2

To rewrite the equation x^2 - 6 = 16x + 30 in standard form, subtract 16x and 30 from both sides to get x^2 - 16x - 36 = 0. It can then be factored into (x - 18)(x + 2) = 0.

Step-by-step explanation:

To rewrite the equation x square minus 6 equal 16x plus 30 in standard form and then factor it, we first move all terms to one side of the equation so that it equals zero. This is the first step in writing a quadratic equation in standard form, which is ax2 + bx + c = 0.

Here is the step-by-step process:

1. Start with the given equation: x2 - 6 = 16x + 30.
2. Subtract 16x and 30 from both sides to get the equation into standard form: x2 - 16x - 36 = 0.
3. Now, factor the quadratic equation. It factors into (x - 18)(x + 2) = 0, because (-18) * 2 = -36 and (-18) + 2 = -16.

Therefore, the quadratic equation in standard form is x2 - 16x - 36 = 0, and its factored form is (x - 18)(x + 2) = 0.