Solve the equationX=15/x+1/4
1 answer:
Answer:
x = -3.75 or 4
Step-by-step explanation:
Multiply by 4x and solve the resulting quadratic in any of the usual ways.
... 4x² = 60 +x
... 4x² -x -60 = 0 . . . . . . . . . . . subtract 60+x
... (x -4)(4x +15) = 0 . . . . . . . . .factor the equation
... x = 4 . . . or . . . -15/4 . . . . . . the values that make the factors zero
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<em>Comment on the graph</em>
It is convenient to use a graphing calculator to find the zeros of a function, so it works well to rewrite the equation to be something that is equal to zero. Here, we've subtracted the right side, so we have ...
... f(x) = x - (15/x +1/4) = 0
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