Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x2−6)(x2+3)
Evaluate
x4−3x2−18
Rewrite the expression
x4+(3−6)x2−18
Calculate
x4+3x2−6x2−18
Rewrite the expression
x2×x2+x2×3−6x2−6×3
Factor out x2 from the expression
x2(x2+3)−6x2−6×3
Factor out −6 from the expression
x2(x2+3)−6(x2+3)
Solution
(x2−6)(x2+3)
Show Solution
Find the roots
x1=−3×i,x2=3×i,x3=−6,x4=6
Alternative Form
x1≈−1.732051i,x2≈1.732051i,x3≈−2.44949,x4≈2.44949
Evaluate
x4−3x2−18
To find the roots of the expression,set the expression equal to 0
x4−3x2−18=0
Factor the expression
(x2−6)(x2+3)=0
Separate the equation into 2 possible cases
x2−6=0x2+3=0
Solve the equation
More Steps
Evaluate
x2−6=0
Move the constant to the right-hand side and change its sign
x2=0+6
Removing 0 doesn't change the value,so remove it from the expression
x2=6
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6
Separate the equation into 2 possible cases
x=6x=−6
x=6x=−6x2+3=0
Solve the equation
More Steps
Evaluate
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
Simplify the expression
More Steps
Evaluate
−3
Evaluate the power
3×−1
Evaluate the power
3×i
x=±(3×i)
Separate the equation into 2 possible cases
x=3×ix=−3×i
x=6x=−6x=3×ix=−3×i
Solution
x1=−3×i,x2=3×i,x3=−6,x4=6
Alternative Form
x1≈−1.732051i,x2≈1.732051i,x3≈−2.44949,x4≈2.44949
Show Solution