6. (MGSE9-12.A.REI.4) Solve \( x^{2}-x-30=0 \)
A. \( x=3 \) and \( x=-10 \)
B. \( x=-5 \) and \( x=6 \)
C. \( x=2 \) and \( x=-15 \)
D. \( x=5 \) and \( x=-6 \)

Answer

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Answer

Solve each equation: \( x=6 \) and \( x=-5 \)

Steps

Step 1 ：Factor the quadratic: \( (x-6)(x+5)=0 \)

Step 2 ：Set each factor equal to zero: \( x-6=0 \) and \( x+5=0 \)

Step 3 ：Solve each equation: \( x=6 \) and \( x=-5 \)