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SOLUTION: If g(x) = √( x - 1) + √(2x), find all values of x for which g(x) = 6
-> SOLUTION: If g(x) = √( x - 1) + √(2x), find all values of x for which g(x) = 6
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If g(x) = √( x - 1) + √(2x), find all values of x for which g(x) = 6
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x^2+74x+1369=288x square each side
x=6.60... The other answer is extraneous.
SOLVE quadratic equation with variable
(in our case
) has the following solutons:
For these solutions to exist, the
should not be a negative number.
First, we need to compute the discriminant
Discriminant d=40320 is greater than zero. That means that there are two solutions:
can be factored:
Again, the answer is: 207.399203184089, 6.60079681591094. Here's your graph: