Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
23×x2−24
Evaluate
x2×23−24
Solution
More Steps
Evaluate
x2×23
Use the commutative property to reorder the terms
2x23
Calculate the product
23×x2
23×x2−24
Show Solution
Factor the expression
23×(x2−43)
Evaluate
x2×23−24
Multiply the terms
More Steps
Evaluate
x2×23
Use the commutative property to reorder the terms
2x23
Calculate the product
23×x2
23×x2−24
Solution
23×(x2−43)
Show Solution
Find the roots
x1=−243,x2=243
Alternative Form
x1≈−2.632148,x2≈2.632148
Evaluate
x2×23−24
To find the roots of the expression,set the expression equal to 0
x2×23−24=0
Multiply the terms
More Steps
Multiply the terms
x2×23
Use the commutative property to reorder the terms
2x23
Calculate the product
23×x2
23×x2−24=0
Move the constant to the right-hand side and change its sign
23×x2=0+24
Removing 0 doesn't change the value,so remove it from the expression
23×x2=24
Divide both sides
2323×x2=2324
Divide the numbers
x2=2324
Cancel out the common factor 2
x2=312
Calculate
More Steps
Evaluate
312
Multiply by the Conjugate
3×3123
Calculate
3123
Reduce the fraction
43
x2=43
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±43
Simplify the expression
More Steps
Evaluate
43
Rewrite the expression
4×3
Simplify the root
243
x=±243
Separate the equation into 2 possible cases
x=243x=−243
Solution
x1=−243,x2=243
Alternative Form
x1≈−2.632148,x2≈2.632148
Show Solution