Question
Solve the equation
x1=−46,x2=46
Alternative Form
x1≈−0.612372,x2≈0.612372
Evaluate
x1×3x1=98
Find the domain
More Steps

Evaluate
{x=03x=0
Calculate
{x=0x=0
Find the intersection
x=0
x1×3x1=98,x=0
Multiply the terms
More Steps

Multiply the terms
x1×3x1
Multiply the terms
x×3x1
Multiply the terms
More Steps

Evaluate
x×3x
Use the commutative property to reorder the terms
3x×x
Multiply the terms
3x2
3x21
3x21=98
Rewrite the expression
3x2=89
Multiply by the reciprocal
3x2×31=89×31
Multiply
x2=89×31
Multiply
More Steps

Evaluate
89×31
Reduce the numbers
83×1
Multiply the numbers
83
x2=83
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±83
Simplify the expression
More Steps

Evaluate
83
To take a root of a fraction,take the root of the numerator and denominator separately
83
Simplify the radical expression
More Steps

Evaluate
8
Write the expression as a product where the root of one of the factors can be evaluated
4×2
Write the number in exponential form with the base of 2
22×2
The root of a product is equal to the product of the roots of each factor
22×2
Reduce the index of the radical and exponent with 2
22
223
Multiply by the Conjugate
22×23×2
Multiply the numbers
More Steps

Evaluate
3×2
The product of roots with the same index is equal to the root of the product
3×2
Calculate the product
6
22×26
Multiply the numbers
More Steps

Evaluate
22×2
When a square root of an expression is multiplied by itself,the result is that expression
2×2
Multiply the numbers
4
46
x=±46
Separate the equation into 2 possible cases
x=46x=−46
Check if the solution is in the defined range
x=46x=−46,x=0
Find the intersection of the solution and the defined range
x=46x=−46
Solution
x1=−46,x2=46
Alternative Form
x1≈−0.612372,x2≈0.612372
Show Solution
