Answer:
@ the step-by-step explanation
Step-by-step explanation:
(Note: +/- means ±)
Quad. Formula:
= [tex]x^2-5x-36[/tex]
= [tex]x^2-5x-36=0[/tex]
1st x:
= [tex]x=\frac{-(-5)+/-\sqrt{(-5)^2-4(-36)} }{2}[/tex]
= [tex]x=\frac{-(-5)+/-\sqrt{25-4(-36)} }{2}[/tex]
= [tex]x=\frac{-(-5)+/-\sqrt{25+144} }{2}[/tex]
= [tex]x=\frac{-(-5)+/-\sqrt{169} }{2}[/tex]
= [tex]x=\frac{-(-5)+/-13}{2}[/tex]
= [tex]x=\frac{5+/-13}{2}[/tex]
= [tex]x=\frac{18}{2}[/tex]
= [tex]x=9[/tex]
2nd x:
= [tex]x=\frac{-8}{2}[/tex]
= [tex]x=-4[/tex]
Factor the original expression:
= [tex]x=x^2-5x-36=(x-9)(x-(-4))[/tex]
= [tex]x^2-5x-36=(x-9)(x+4)[/tex]
Formula used:
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Verified answer
Answer:
@ the step-by-step explanation
Step-by-step explanation:
(Note: +/- means ±)
Quad. Formula:
= [tex]x^2-5x-36[/tex]
= [tex]x^2-5x-36=0[/tex]
1st x:
= [tex]x=\frac{-(-5)+/-\sqrt{(-5)^2-4(-36)} }{2}[/tex]
= [tex]x=\frac{-(-5)+/-\sqrt{25-4(-36)} }{2}[/tex]
= [tex]x=\frac{-(-5)+/-\sqrt{25+144} }{2}[/tex]
= [tex]x=\frac{-(-5)+/-\sqrt{169} }{2}[/tex]
= [tex]x=\frac{-(-5)+/-13}{2}[/tex]
= [tex]x=\frac{5+/-13}{2}[/tex]
= [tex]x=\frac{18}{2}[/tex]
= [tex]x=9[/tex]
2nd x:
= [tex]x=\frac{-8}{2}[/tex]
= [tex]x=-4[/tex]
Factor the original expression:
= [tex]x=x^2-5x-36=(x-9)(x-(-4))[/tex]
= [tex]x^2-5x-36=(x-9)(x+4)[/tex]
Formula used: