Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−10x4
Evaluate
x2−10x4×1
Solution
x2−10x4
Show Solution
Factor the expression
x2(1−10x2)
Evaluate
x2−10x4×1
Multiply the terms
x2−10x4
Rewrite the expression
x2−x2×10x2
Solution
x2(1−10x2)
Show Solution
Find the roots
x1=−1010,x2=0,x3=1010
Alternative Form
x1≈−0.316228,x2=0,x3≈0.316228
Evaluate
x2−10x4×1
To find the roots of the expression,set the expression equal to 0
x2−10x4×1=0
Multiply the terms
x2−10x4=0
Factor the expression
x2(1−10x2)=0
Separate the equation into 2 possible cases
x2=01−10x2=0
The only way a power can be 0 is when the base equals 0
x=01−10x2=0
Solve the equation
More Steps
Evaluate
1−10x2=0
Move the constant to the right-hand side and change its sign
−10x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−10x2=−1
Change the signs on both sides of the equation
10x2=1
Divide both sides
1010x2=101
Divide the numbers
x2=101
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±101
Simplify the expression
More Steps
Evaluate
101
To take a root of a fraction,take the root of the numerator and denominator separately
101
Simplify the radical expression
101
Multiply by the Conjugate
10×1010
When a square root of an expression is multiplied by itself,the result is that expression
1010
x=±1010
Separate the equation into 2 possible cases
x=1010x=−1010
x=0x=1010x=−1010
Solution
x1=−1010,x2=0,x3=1010
Alternative Form
x1≈−0.316228,x2=0,x3≈0.316228
Show Solution