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What are the solutions of the quadratic equation (x – 8)2 – 13(x – 8) + 30 = 0? Use u substitution to solve. x = –11 and x = –18 x = –2 and x = 5 x = 2 and x = –5 x = 11 and x = 18

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2 votes

Answer:

The answer is D on EDGE 2020

Explanation:

User Kgd
by
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3 votes

Answer:

x=11 and x=18

Explanation:

The given quadratic equation is;


(x-8)^2-13(x-8)+30=0

Let u=(x-8)


u^2-13u+30=0

Split the middle term;


u^2-10u-3u+30=0

Factor by grouping


u(u-10)-3(u-10)=0


(u-10)(u-3)=0

We have either u=10 or u=3

This implies that;

x-8=10 or x-8=3

x=10+8 or x=3+8

x=18 or x=11

User Rasean
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