SOLUTION: a number exceeds its square root by 56. find the number

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Question 680947: a number exceeds its square root by 56. find the number
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!





Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=225 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 64, 49. Here's your graph:

Possible solutions are x = 64 and x = 49
A square root can be negative, 64 and 8 work and so do 49 and -7
Both 56 and 49 are solutions
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