Question
Solve the equation
x1=−19468590,x2=0,x3=19468590
Alternative Form
x1≈−0.851749,x2=0,x3≈0.851749
Evaluate
10x2−19x6=0
Factor the expression
x2(10−19x4)=0
Separate the equation into 2 possible cases
x2=010−19x4=0
The only way a power can be 0 is when the base equals 0
x=010−19x4=0
Solve the equation
More Steps

Evaluate
10−19x4=0
Move the constant to the right-hand side and change its sign
−19x4=0−10
Removing 0 doesn't change the value,so remove it from the expression
−19x4=−10
Change the signs on both sides of the equation
19x4=10
Divide both sides
1919x4=1910
Divide the numbers
x4=1910
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±41910
Simplify the expression
More Steps

Evaluate
41910
To take a root of a fraction,take the root of the numerator and denominator separately
419410
Multiply by the Conjugate
419×4193410×4193
Simplify
419×4193410×46859
Multiply the numbers
419×4193468590
Multiply the numbers
19468590
x=±19468590
Separate the equation into 2 possible cases
x=19468590x=−19468590
x=0x=19468590x=−19468590
Solution
x1=−19468590,x2=0,x3=19468590
Alternative Form
x1≈−0.851749,x2=0,x3≈0.851749
Show Solution
