Answer:
The x-intercepts of the graph of the equation y = x² + 4x - 5 is -5 and 1
Step-by-step explanation:
Given:
y = x² + 4x-5
To Find:
x-intercepts
Solution:
Finding the value of the x by using quadratic formula
x = [tex]\frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
On substituting the values ,
x = [tex]\frac{-4 \pm \sqrt{(4)^2 -(4(1)(-5))}}{2(1)}[/tex]
x = [tex]\frac{-4 \pm \sqrt{16 -(-20)}}{2}[/tex]
x = [tex]\frac{-4 \pm \sqrt{36}}{2}[/tex]
x = [tex]\frac{-4 \pm6 }{2}[/tex]
[tex]x = \frac{-4-6}{2}[/tex] [tex]x = \frac{-4+6}{2}[/tex]
[tex]x = \frac{-10}{2}[/tex] [tex]x = \frac{2}{2}[/tex]
x = -5 x = 1
