Question
Solve the equation
x1=−742940,x2=742940
Alternative Form
x1≈−1.051935,x2≈1.051935
Evaluate
180=x4×147
Use the commutative property to reorder the terms
180=147x4
Swap the sides of the equation
147x4=180
Divide both sides
147147x4=147180
Divide the numbers
x4=147180
Cancel out the common factor 3
x4=4960
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±44960
Simplify the expression
More Steps

Evaluate
44960
To take a root of a fraction,take the root of the numerator and denominator separately
449460
Simplify the radical 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
7460
Multiply by the Conjugate
7×7460×7
Multiply the numbers
More Steps

Evaluate
460×7
Use na=mnam to expand the expression
460×472
The product of roots with the same index is equal to the root of the product
460×72
Calculate the product
42940
7×742940
When a square root of an expression is multiplied by itself,the result is that expression
742940
x=±742940
Separate the equation into 2 possible cases
x=742940x=−742940
Solution
x1=−742940,x2=742940
Alternative Form
x1≈−1.051935,x2≈1.051935
Show Solution
