Question
Simplify the expression
8−9es2
Evaluate
9−1−1×(s2e×9)
Remove the parentheses
9−1−1×s2e×9
Multiply the terms
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Multiply the terms
−s2e×9
Multiply the terms
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Evaluate
s2e×9
Use the commutative property to reorder the terms
es2×9
Use the commutative property to reorder the terms
9es2
−9es2
9−1−9es2
Solution
8−9es2
Show Solution

Find the roots
s1=−3e22e,s2=3e22e
Alternative Form
s1≈−0.571843,s2≈0.571843
Evaluate
9−1−1×(s2e×9)
To find the roots of the expression,set the expression equal to 0
9−1−1×(s2e×9)=0
Multiply the terms
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Multiply the terms
s2e×9
Use the commutative property to reorder the terms
es2×9
Use the commutative property to reorder the terms
9es2
9−1−1×9es2=0
Any expression multiplied by 1 remains the same
9−1−9es2=0
Subtract the numbers
8−9es2=0
Move the constant to the right-hand side and change its sign
−9es2=0−8
Removing 0 doesn't change the value,so remove it from the expression
−9es2=−8
Change the signs on both sides of the equation
9es2=8
Divide both sides
9e9es2=9e8
Divide the numbers
s2=9e8
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±9e8
Simplify the expression
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Evaluate
9e8
To take a root of a fraction,take the root of the numerator and denominator separately
9e8
Simplify the radical expression
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Evaluate
8
Write the expression as a product where the root of one of the factors can be evaluated
4×2
Write the number in exponential form with the base of 2
22×2
The root of a product is equal to the product of the roots of each factor
22×2
Reduce the index of the radical and exponent with 2
22
9e22
Simplify the radical expression
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Evaluate
9e
Rewrite the expression
9×e
Simplify the root
3e
3e22
Multiply by the Conjugate
3e×e22×e
The product of roots with the same index is equal to the root of the product
3e×e22e
When a square root of an expression is multiplied by itself,the result is that expression
3e22e
s=±3e22e
Separate the equation into 2 possible cases
s=3e22es=−3e22e
Solution
s1=−3e22e,s2=3e22e
Alternative Form
s1≈−0.571843,s2≈0.571843
Show Solution
