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Svetllana [295]
3 years ago
9

X

align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

x = 3\ or\ x = 7

Step-by-step 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

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