Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
10s2−804
Evaluate
s2×10−18−786
Use the commutative property to reorder the terms
10s2−18−786
Solution
10s2−804
Show Solution
Factor the expression
2(5s2−402)
Evaluate
s2×10−18−786
Use the commutative property to reorder the terms
10s2−18−786
Subtract the numbers
10s2−804
Solution
2(5s2−402)
Show Solution
Find the roots
s1=−52010,s2=52010
Alternative Form
s1≈−8.966605,s2≈8.966605
Evaluate
s2×10−18−786
To find the roots of the expression,set the expression equal to 0
s2×10−18−786=0
Use the commutative property to reorder the terms
10s2−18−786=0
Subtract the numbers
10s2−804=0
Move the constant to the right-hand side and change its sign
10s2=0+804
Removing 0 doesn't change the value,so remove it from the expression
10s2=804
Divide both sides
1010s2=10804
Divide the numbers
s2=10804
Cancel out the common factor 2
s2=5402
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±5402
Simplify the expression
More Steps
Evaluate
5402
To take a root of a fraction,take the root of the numerator and denominator separately
5402
Multiply by the Conjugate
5×5402×5
Multiply the numbers
More Steps
Evaluate
402×5
The product of roots with the same index is equal to the root of the product
402×5
Calculate the product
2010
5×52010
When a square root of an expression is multiplied by itself,the result is that expression
52010
s=±52010
Separate the equation into 2 possible cases
s=52010s=−52010
Solution
s1=−52010,s2=52010
Alternative Form
s1≈−8.966605,s2≈8.966605
Show Solution