<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%2B10%7D%3D%20x-2%20" id="TexFormula1" title=" \sqrt{x+10}= x-2 " alt=" \sqrt{x+

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professor190 [17]

2 years ago

10}= x-2 " align="absmiddle" class="latex-formula">

Help? Has to be factored.

Mathematics

1 answer:

frez [133]2 years ago

3 0

Square both sides
x+10=x^2-4x+4
subtract x from both sides
10=x^2-5x+4
subtract 10 from both sides
0=x^2-3x-6
factor
what 2 numbers multiply to get -6 and add to get -5
the numbers are -6 and 1
so
(x-6)(x+1)=0
if xy=0 then assume x and y=0
so
x-6=0
x=6
x+1=0
x=-1

x=6 and/or-1

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