Question
Solve the equation
x1=−7,x2=7
Alternative Form
x1≈−2.645751,x2≈2.645751
Evaluate
2(x2)2−5=93
Simplify
More Steps

Evaluate
2(x2)2−5
Multiply the exponents
2x2×2−5
Multiply the numbers
2x4−5
2x4−5=93
Move the constant to the right-hand side and change its sign
2x4=93+5
Add the numbers
2x4=98
Divide both sides
22x4=298
Divide the numbers
x4=298
Divide the numbers
More Steps

Evaluate
298
Reduce the numbers
149
Calculate
49
x4=49
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±449
Simplify the expression
More Steps

Evaluate
449
Write the number in exponential form with the base of 7
472
Reduce the index of the radical and exponent with 2
7
x=±7
Separate the equation into 2 possible cases
x=7x=−7
Solution
x1=−7,x2=7
Alternative Form
x1≈−2.645751,x2≈2.645751
Show Solution
