Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
135s2−802
Evaluate
s2×135−802−0
Use the commutative property to reorder the terms
135s2−802−0
Solution
135s2−802
Show Solution
Find the roots
s1=−4512030,s2=4512030
Alternative Form
s1≈−2.437363,s2≈2.437363
Evaluate
s2×135−802−0
To find the roots of the expression,set the expression equal to 0
s2×135−802−0=0
Use the commutative property to reorder the terms
135s2−802−0=0
Removing 0 doesn't change the value,so remove it from the expression
135s2−802=0
Move the constant to the right-hand side and change its sign
135s2=0+802
Removing 0 doesn't change the value,so remove it from the expression
135s2=802
Divide both sides
135135s2=135802
Divide the numbers
s2=135802
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±135802
Simplify the expression
More Steps
Evaluate
135802
To take a root of a fraction,take the root of the numerator and denominator separately
135802
Simplify the radical expression
More Steps
Evaluate
135
Write the expression as a product where the root of one of the factors can be evaluated
9×15
Write the number in exponential form with the base of 3
32×15
The root of a product is equal to the product of the roots of each factor
32×15
Reduce the index of the radical and exponent with 2
315
315802
Multiply by the Conjugate
315×15802×15
Multiply the numbers
More Steps
Evaluate
802×15
The product of roots with the same index is equal to the root of the product
802×15
Calculate the product
12030
315×1512030
Multiply the numbers
More Steps
Evaluate
315×15
When a square root of an expression is multiplied by itself,the result is that expression
3×15
Multiply the terms
45
4512030
s=±4512030
Separate the equation into 2 possible cases
s=4512030s=−4512030
Solution
s1=−4512030,s2=4512030
Alternative Form
s1≈−2.437363,s2≈2.437363
Show Solution