Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−20−2782s2
Evaluate
28−48−2782s×s
Multiply the terms
28−48−2782s2
Solution
−20−2782s2
Show Solution
Factor the expression
−2(10+1391s2)
Evaluate
28−48−2782s×s
Multiply the terms
28−48−2782s2
Subtract the numbers
−20−2782s2
Solution
−2(10+1391s2)
Show Solution
Find the roots
s1=−139113910i,s2=139113910i
Alternative Form
s1≈−0.084788i,s2≈0.084788i
Evaluate
28−48−2782s×s
To find the roots of the expression,set the expression equal to 0
28−48−2782s×s=0
Multiply the terms
28−48−2782s2=0
Subtract the numbers
−20−2782s2=0
Move the constant to the right-hand side and change its sign
−2782s2=0+20
Removing 0 doesn't change the value,so remove it from the expression
−2782s2=20
Change the signs on both sides of the equation
2782s2=−20
Divide both sides
27822782s2=2782−20
Divide the numbers
s2=2782−20
Divide the numbers
More Steps
Evaluate
2782−20
Cancel out the common factor 2
1391−10
Use b−a=−ba=−ba to rewrite the fraction
−139110
s2=−139110
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±−139110
Simplify the expression
More Steps
Evaluate
−139110
Evaluate the power
139110×−1
Evaluate the power
139110×i
Evaluate the power
More Steps
Evaluate
139110
To take a root of a fraction,take the root of the numerator and denominator separately
139110
Multiply by the Conjugate
1391×139110×1391
Multiply the numbers
1391×139113910
When a square root of an expression is multiplied by itself,the result is that expression
139113910
139113910i
s=±139113910i
Separate the equation into 2 possible cases
s=139113910is=−139113910i
Solution
s1=−139113910i,s2=139113910i
Alternative Form
s1≈−0.084788i,s2≈0.084788i
Show Solution