Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x2−4
Evaluate
16x2÷8−4
Solution
More Steps
Evaluate
16x2÷8
Rewrite the expression
816x2
Divide the terms
More Steps
Evaluate
816
Reduce the numbers
12
Calculate
2
2x2
2x2−4
Show Solution
Factor the expression
2(x2−2)
Evaluate
16x2÷8−4
Divide the terms
More Steps
Evaluate
16x2÷8
Rewrite the expression
816x2
Divide the terms
More Steps
Evaluate
816
Reduce the numbers
12
Calculate
2
2x2
2x2−4
Solution
2(x2−2)
Show Solution
Find the roots
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Evaluate
16x2÷8−4
To find the roots of the expression,set the expression equal to 0
16x2÷8−4=0
Divide the terms
More Steps
Evaluate
16x2÷8
Rewrite the expression
816x2
Divide the terms
More Steps
Evaluate
816
Reduce the numbers
12
Calculate
2
2x2
2x2−4=0
Move the constant to the right-hand side and change its sign
2x2=0+4
Removing 0 doesn't change the value,so remove it from the expression
2x2=4
Divide both sides
22x2=24
Divide the numbers
x2=24
Divide the numbers
More Steps
Evaluate
24
Reduce the numbers
12
Calculate
2
x2=2
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Solution
x1=−2,x2=2
Alternative Form
x1≈−1.414214,x2≈1.414214
Show Solution