7*(x+5)*(x -5) that is your answer right there
Answer:
The answer to your question is (-4, 9) and (3, 2)
Step-by-step explanation:
Data
Equation 1 y = x² - 7
Equation 2 y = -x + 5
Process
1.- Substitute Equation 2 in equation 1
-x + 5 = x² - 7
2.- Equal to zero
x² + x - 7 - 5 = 0
x² + x - 12 = 0
3.- Factor to find x
(x + 4)(x - 3) = 0
x₁ + 4 = 0 x₂ - 3 = 0
x₁ = -4 x₂ = 3
4.- Substitute x₁ and x₂ to find y
y = -x + 5 x₁ = -4
y = -(-4) + 5
y = 4 + 5
y = 9 Solution (-4, 9)
y = -x + 5 x₂ = 3
y = -3 + 5
y = 2 Solution (3, 2)
The y intercept of the equation is -4. We know this because the y intercept of a linear equation always appears there in the formula.
To find the x intercept, plug 0 in for y and solve for x.
0=3x-4
<em>*Add 4 to both sides*</em>
4=3x
<em>*Divide both sides by 3*</em>
4/3=x
The x intercept of the equation is 4/3.
Hope this helps!!
Answer:
Step-by-step explanation:
All the solutions are here except number 5.
