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X
x^(2)-8x+14=2x-7

User Feleio
by
3.2k points

1 Answer

5 votes

Answer:


x = 3\ or\ x = 7

Explanation:

Given


x^(2)-8x+14=2x-7

Required

Solve

Equate to 0


x^(2)-8x-2x+14+7=0


x^(2)-10x+21=0

Expand


x^(2)-7x-3x+21=0

Factorize


x(x-7)-3(x-7)=0

Factor out x - 7


(x-3)(x-7)=0

Split


x - 3 = 0\ \ x - 7 = 0

Solve


x = 3\ or\ x = 7

User Bahadir Tasdemir
by
3.8k points