Question

`x^(2) -11x=-28`

Answer 1

x= 7

x= 4

Explanation:

Move terms to the left side

2−11=−28

x^{2}-11x=-28x2−11x=−28

2−11−(−28)=0

Use the sum-product pattern

Identify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.

2−11+28=0

Factor

Write your equation in factored form

(−7)(−4)=0

Create two separate equations

Set each factor equal to zero

−7=0

x-7=0x−7=0

−4=0

Solve

Rearrange and isolate the variable to find each solution

=7

x=7x=7

=4

Solution

=7=4

Answer 2

x = 4, 7

Explanation:

We start off with the equation
`x^(2) -11x = -28`. from there, we can add 28 to both sides to get
`x^(2) -11x+28 = 0`. From there, we have to factor the equation. In order to factor it, we have to ask ourselves what 2 numbers would add up to -11 and multiply to 28? In this case, the answer would be -7 and -4. So, we get the equation (x-7)(x-4) = 0. Then, we set each part of the equation = 0 to get the anwsers x = 4 and 7. Hope this helps!