2 of {3 × 4 ÷ 2 + (4 – 3) – 5}.
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STEPS USING FACTORING
x
2
−4x−5=0
To solve the equation, factor x
2
−4x−5 using formula x
2
+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−4
ab=−5
Since ab is negative, a and b have the opposite signs. Since a+b is negative, the negative number has greater absolute value than the positive. The only such pair is the system solution.
a=−5
b=1
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−5)(x+1)
To find equation solutions, solve x−5=0 and x+1=0.
x=5
x=−1
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