Question

Solve for x in the equation x^2-14+31=63

Answer 1

To solve for a variable, you need to get it (x) by itself.

x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x =
`\pm √(46)`

Check your work by plugging in
`√(46)` for x and then
`- √(46)`.


`√(46)`² - 14 + 31 = 63 Square
`√(46)`
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63


`- √(46)`² - 14 + 31 = 63 Square
`- √(46)`
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63

So, x is
`√(46)` and
`- √(46)` .