Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−3009−29s2
Evaluate
1−2400−610−s2×29
Use the commutative property to reorder the terms
1−2400−610−29s2
Solution
−3009−29s2
Show Solution
Find the roots
s1=−2987261i,s2=2987261i
Alternative Form
s1≈−10.186198i,s2≈10.186198i
Evaluate
1−2400−610−s2×29
To find the roots of the expression,set the expression equal to 0
1−2400−610−s2×29=0
Subtract the numbers
−2399−610−s2×29=0
Use the commutative property to reorder the terms
−2399−610−29s2=0
Subtract the numbers
−3009−29s2=0
Move the constant to the right-hand side and change its sign
−29s2=0+3009
Removing 0 doesn't change the value,so remove it from the expression
−29s2=3009
Change the signs on both sides of the equation
29s2=−3009
Divide both sides
2929s2=29−3009
Divide the numbers
s2=29−3009
Use b−a=−ba=−ba to rewrite the fraction
s2=−293009
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±−293009
Simplify the expression
More Steps
Evaluate
−293009
Evaluate the power
293009×−1
Evaluate the power
293009×i
Evaluate the power
More Steps
Evaluate
293009
To take a root of a fraction,take the root of the numerator and denominator separately
293009
Multiply by the Conjugate
29×293009×29
Multiply the numbers
29×2987261
When a square root of an expression is multiplied by itself,the result is that expression
2987261
2987261i
s=±2987261i
Separate the equation into 2 possible cases
s=2987261is=−2987261i
Solution
s1=−2987261i,s2=2987261i
Alternative Form
s1≈−10.186198i,s2≈10.186198i
Show Solution