Mathematics
faert
7

If (x − 2)^2=49, then x could be ?

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(2) Answers
libbylee

(x-2)(x-2)  x^2   -2x   -2x  +4    =49  (-49 from both sides) X^2-4x-45 (x+5)(x-9) x=-5, x=9 

Gracie216

[latex] (x - 2)^2=49\\ \\ x^2-4x +4 -49=0\\ \\x^2-4x -45 = 0\\ \\\Delta = b^{2}-4ac = (-4)^{2}-4*1* (-45)= 16+180=196 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{4-\sqrt{196}}{2}=\frac{4-14}{2}=\frac{-10}{2}=-5 \\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{4+\sqrt{196}}{2}=\frac{4+14}{2}=\frac{18}{2}=9 \\ \\Answer : \ x=-5 \ or \ x= 9[/latex]

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