Problema Solution
eight more than a reciprocal of a number is equal to twice that number. if x is the number, find an equation that can be used to find the number.
Answer provided by our tutors
let x be the number
8 + 1/x = 2x multiply both sides by x
8x + 1 = 2x^2
2x^2 - 8x - 1 = 0
by solving we find 2 solutions:
x1 = (1/4)(8 + √72)
x2 = (1/4)(8 - √72)
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