Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
6x4−36x2+54
Evaluate
(x2−3)2×6
Use the commutative property to reorder the terms
6(x2−3)2
Expand the expression
More Steps
Evaluate
(x2−3)2
Use (a−b)2=a2−2ab+b2 to expand the expression
(x2)2−2x2×3+32
Calculate
x4−6x2+9
6(x4−6x2+9)
Apply the distributive property
6x4−6×6x2+6×9
Multiply the numbers
6x4−36x2+6×9
Solution
6x4−36x2+54
Show Solution
Find the roots
x1=−3,x2=3
Alternative Form
x1≈−1.732051,x2≈1.732051
Evaluate
(x2−3)2×6
To find the roots of the expression,set the expression equal to 0
(x2−3)2×6=0
Use the commutative property to reorder the terms
6(x2−3)2=0
Rewrite the expression
(x2−3)2=0
The only way a power can be 0 is when the base equals 0
x2−3=0
Move the constant to the right-hand side and change its sign
x2=0+3
Removing 0 doesn't change the value,so remove it from the expression
x2=3
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±3
Separate the equation into 2 possible cases
x=3x=−3
Solution
x1=−3,x2=3
Alternative Form
x1≈−1.732051,x2≈1.732051
Show Solution