Question
Solve the system of equations
(?1,x1)=(−89,−89)(?2,x2)=(89,89)
Evaluate
{x2=89x=?
Solve the equation for x
More Steps

Evaluate
x2=89
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±89
Separate the equation into 2 possible cases
x=89x=−89
{x=89∪x=−89x=?
Evaluate
{x=89x=?∪{x=−89x=?
Calculate
More Steps

Evaluate
{x=89x=?
Substitute the given value of x into the equation x=?
89=?
Swap the sides of the equation
?=89
Calculate
{?=89x=89
{?=89x=89∪{x=−89x=?
Calculate
More Steps

Evaluate
{x=−89x=?
Substitute the given value of x into the equation x=?
−89=?
Swap the sides of the equation
?=−89
Calculate
{?=−89x=−89
{?=89x=89∪{?=−89x=−89
Rearrange the terms
{?=−89x=−89∪{?=89x=89
Check the solution
More Steps

Check the solution
⎩⎨⎧(−89)2=89−89=−89
Simplify
{89=89−9.433981=−9.433981
Evaluate
true
{?=−89x=−89∪{?=89x=89
Check the solution
More Steps

Check the solution
⎩⎨⎧(89)2=8989=89
Simplify
{89=899.433981=9.433981
Evaluate
true
{?=−89x=−89∪{?=89x=89
Solution
(?1,x1)=(−89,−89)(?2,x2)=(89,89)
Show Solution
