SOLUTION: √(x+10)=2-x
and
√(x+3)=(x-1)/3
Full step-by-step instructions please
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Question 731801: √(x+10)=2-x
and
√(x+3)=(x-1)/3
Full step-by-step instructions please
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Square both sides and simplify. Simplify means get all terms on one side and just 0 on the other side, and make terms in the order of general form, decreasing degree of x.
Those instructions might be a little too brief, so here is a refinement:
The right hand member contains a variable and a constant term. The left hand member uses the variable term and a constant term both inside the square root function. We want to unwrap the left hand member, so we start by squaring BOTH sides.
(1) Square both sides.
(2) Use inverse operations to collect the terms to one side and have zero on the other side; we can detect by visual inspection that we'll have a quadratic equation.
(3) If you are interested in solving for x, you'd either use factoring or general solution to quadratic equation.
See if the quadratic expression is easy to factor first...
?*?=-6, ?+?=-5
-6*1=-6, -6+1=-5, that is the pair of constants for the linear binomials.
=
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