A: x= 6+3 squareroot 10 ... Its letter A
X(exponent 2) - x - 6
------------------------- =
x(exponent 2) -4
(x-3)(x+2)
------------- =
(x-2)(x+2)
Cancel out the x + 2 factors.
x-3
---- <== ANSWER
x-2
Hope this helps! :)
Answer:
Step-by-step explanation:
6*( 5 + X) = 36
30 + 6X = 36
6X = 6
X = 1
Answer:
- B solving by factoring
- A the quadratic formula
Step-by-step explanation:
<h3>1.</h3>
The "zero product principle" or "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. This fact is used to solve quadratic equations by factoring.
Factoring the equation y = ax² +bx +c to the form y = a(x -r)(x -s) allows you to immediately identify the solutions of y=0 as x=r and x=s. These are the values of x that make the factors zero, hence making the product zero.
Finding the values of x that satisfy ax² +bx +c = 0 by rearranging it to the form a(x -r)(x -s) = 0 is called "solving by factoring."
<h3>2.</h3>
When the process of "completing the square" is applied to the standard-form quadratic y = ax² +bx +c, the result is a formula for the two solutions to y = 0:

This quadratic formula tells you the solutions based on the coefficients of the original equation, so <em>does not require rearranging</em> the equation in any way.