Question
Solve the equation
x1=−5243×523,x2=0,x3=5243×523
Alternative Form
x1≈−0.490094,x2=0,x3≈0.490094
Evaluate
9x2−12x4×4x2=9x2×12x4
Multiply
More Steps

Evaluate
12x4×4x2
Multiply the terms
48x4×x2
Multiply the terms with the same base by adding their exponents
48x4+2
Add the numbers
48x6
9x2−48x6=9x2×12x4
Multiply
More Steps

Evaluate
9x2×12x4
Multiply the terms
108x2×x4
Multiply the terms with the same base by adding their exponents
108x2+4
Add the numbers
108x6
9x2−48x6=108x6
Move the expression to the left side
9x2−48x6−108x6=0
Subtract the terms
More Steps

Evaluate
−48x6−108x6
Collect like terms by calculating the sum or difference of their coefficients
(−48−108)x6
Subtract the numbers
−156x6
9x2−156x6=0
Factor the expression
3x2(3−52x4)=0
Divide both sides
x2(3−52x4)=0
Separate the equation into 2 possible cases
x2=03−52x4=0
The only way a power can be 0 is when the base equals 0
x=03−52x4=0
Solve the equation
More Steps

Evaluate
3−52x4=0
Move the constant to the right-hand side and change its sign
−52x4=0−3
Removing 0 doesn't change the value,so remove it from the expression
−52x4=−3
Change the signs on both sides of the equation
52x4=3
Divide both sides
5252x4=523
Divide the numbers
x4=523
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4523
Simplify the expression
More Steps

Evaluate
4523
To take a root of a fraction,take the root of the numerator and denominator separately
45243
Multiply by the Conjugate
452×452343×4523
The product of roots with the same index is equal to the root of the product
452×452343×523
Multiply the numbers
5243×523
x=±5243×523
Separate the equation into 2 possible cases
x=5243×523x=−5243×523
x=0x=5243×523x=−5243×523
Solution
x1=−5243×523,x2=0,x3=5243×523
Alternative Form
x1≈−0.490094,x2=0,x3≈0.490094
Show Solution
