Question
Solve the equation
x1=−2124352,x2=2124352
Alternative Form
x1≈−1.005065,x2≈1.005065
Evaluate
2(x6)2×16=34
Simplify
More Steps

Evaluate
2(x6)2×16
Multiply the exponents
2x6×2×16
Multiply the numbers
2x12×16
Multiply the terms
32x12
32x12=34
Divide both sides
3232x12=3234
Divide the numbers
x12=3234
Cancel out the common factor 2
x12=1617
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±121617
Simplify the expression
More Steps

Evaluate
121617
To take a root of a fraction,take the root of the numerator and denominator separately
12161217
Simplify the radical expression
More Steps

Evaluate
1216
Write the number in exponential form with the base of 2
1224
Reduce the index of the radical and exponent with 4
32
321217
Multiply by the Conjugate
32×3221217×322
Simplify
32×3221217×34
Multiply the numbers
More Steps

Evaluate
1217×34
Use na=mnam to expand the expression
1217×1244
The product of roots with the same index is equal to the root of the product
1217×44
Calculate the product
124352
32×322124352
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
2124352
x=±2124352
Separate the equation into 2 possible cases
x=2124352x=−2124352
Solution
x1=−2124352,x2=2124352
Alternative Form
x1≈−1.005065,x2≈1.005065
Show Solution
