Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5s2−90
Evaluate
s2×5−88−2
Use the commutative property to reorder the terms
5s2−88−2
Solution
5s2−90
Show Solution
Factor the expression
5(s2−18)
Evaluate
s2×5−88−2
Use the commutative property to reorder the terms
5s2−88−2
Subtract the numbers
5s2−90
Solution
5(s2−18)
Show Solution
Find the roots
s1=−32,s2=32
Alternative Form
s1≈−4.242641,s2≈4.242641
Evaluate
s2×5−88−2
To find the roots of the expression,set the expression equal to 0
s2×5−88−2=0
Use the commutative property to reorder the terms
5s2−88−2=0
Subtract the numbers
5s2−90=0
Move the constant to the right-hand side and change its sign
5s2=0+90
Removing 0 doesn't change the value,so remove it from the expression
5s2=90
Divide both sides
55s2=590
Divide the numbers
s2=590
Divide the numbers
More Steps
Evaluate
590
Reduce the numbers
118
Calculate
18
s2=18
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±18
Simplify the expression
More Steps
Evaluate
18
Write the expression as a product where the root of one of the factors can be evaluated
9×2
Write the number in exponential form with the base of 3
32×2
The root of a product is equal to the product of the roots of each factor
32×2
Reduce the index of the radical and exponent with 2
32
s=±32
Separate the equation into 2 possible cases
s=32s=−32
Solution
s1=−32,s2=32
Alternative Form
s1≈−4.242641,s2≈4.242641
Show Solution