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 = [tex]\pm \sqrt{46} [/tex]
Check your work by plugging in [tex] \sqrt{46} [/tex] for x and then [tex]- \sqrt{46} [/tex].
[tex] \sqrt{46} [/tex]² - 14 + 31 = 63 Square [tex] \sqrt{46} [/tex]
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
[tex]- \sqrt{46} [/tex]² - 14 + 31 = 63 Square [tex]- \sqrt{46} [/tex]
46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
So, x is [tex] \sqrt{46} [/tex] and [tex]- \sqrt{46} [/tex] .
