How do you solve $\sqrt{3 x + 10} = x + 2$ $sqrt(3x+10) = x+2$ ?

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How do you solve $\sqrt{3 x + 10} = x + 2$ $sqrt(3x+10) = x+2$ ?

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Answer 1 · 2016-08-13T10:58:33

$x = - 3 or + 2$ $x = -3 or +2$

Explanation:

$\sqrt{3 x + 10} = x + 2$ $sqrt(3x+10) = x+2$

Square both sides:
$3 x + 10 = {(x + 2)}^{2}$ $3x+10 = (x+2)^2$

$3 x + 10 = x^{2} + 4 x + 4$ $3x+10 = x^2 + 4x +4$

$x^{2} + x - 6 = 0$ $x^2+x-6=0$

$(x + 3) (x - 2) = 0$ $(x+3)(x-2) = 0$

Therefore:

Either $(x + 3) = 0 \to x = - 3$ $(x+3)= 0 -> x=-3$
Or $(x - 2) = 0 \to x = + 2$ $(x-2) = 0 -> x=+2$

Answer 2 · 2016-08-13T11:00:17

$x = 2 or x = - 3$ $x=2 or x=-3$

Explanation:

$\sqrt{3 x + 10} = x + 2$ $sqrt(3x+10)=x+2$ ; squaring both sides $3x+10=(x+2)^2 or x^2+4x+4-3x-10=0 orx^2+x-6=0 or x^2+3x-2x-6=0 or x(x+3)-2(x+3)=0 or(x+3)(x-2)=0 :. x+3=0 or x=-3; x-2=0 or x=2$ [Ans]

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How do you solve $\sqrt{3 x + 10} = x + 2$ $sqrt(3x+10) = x+2$ ?

2 Answers

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Explanation:

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How do you solve sqrt(3x+10) = x+2√3x+10=x+2 sqrt(3x+10) = x+2?

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How do you solve $\sqrt{3 x + 10} = x + 2$ $sqrt(3x+10) = x+2$ ?