[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]
Step-by-step explanation:
we are given a equation
we want to figure out x
add 10 to both sides:
[tex] \displaystyle \: (x + 15 {)}^{2} = 10[/tex]
square root both sides:
remember that,
[tex] \displaystyle \: a = \pm \sqrt{b} [/tex]
by that
[tex] \displaystyle \: x + 15 = \pm\sqrt{10} [/tex]
cancel 15 from both sides:
[tex] \displaystyle \: x = \pm\sqrt{10} - 15[/tex]
so
[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]
