Question
Simplify the expression
666s2−10646705
Evaluate
s2×666−1543×25×276−5
Use the commutative property to reorder the terms
666s2−1543×25×276−5
Multiply the terms
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Multiply the terms
−1543×25×276
Multiply the terms
More Steps

Evaluate
1543×25×276
Multiply the terms
38575×276
Multiply the numbers
10646700
−10646700
666s2−10646700−5
Solution
666s2−10646705
Show Solution

Find the roots
s1=−222787856170,s2=222787856170
Alternative Form
s1≈−126.435927,s2≈126.435927
Evaluate
s2×666−1543×25×276−5
To find the roots of the expression,set the expression equal to 0
s2×666−1543×25×276−5=0
Use the commutative property to reorder the terms
666s2−1543×25×276−5=0
Multiply the terms
More Steps

Multiply the terms
1543×25×276
Multiply the terms
38575×276
Multiply the numbers
10646700
666s2−10646700−5=0
Subtract the numbers
666s2−10646705=0
Move the constant to the right-hand side and change its sign
666s2=0+10646705
Removing 0 doesn't change the value,so remove it from the expression
666s2=10646705
Divide both sides
666666s2=66610646705
Divide the numbers
s2=66610646705
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±66610646705
Simplify the expression
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Evaluate
66610646705
To take a root of a fraction,take the root of the numerator and denominator separately
66610646705
Simplify the radical expression
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Evaluate
666
Write the expression as a product where the root of one of the factors can be evaluated
9×74
Write the number in exponential form with the base of 3
32×74
The root of a product is equal to the product of the roots of each factor
32×74
Reduce the index of the radical and exponent with 2
374
37410646705
Multiply by the Conjugate
374×7410646705×74
Multiply the numbers
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Evaluate
10646705×74
The product of roots with the same index is equal to the root of the product
10646705×74
Calculate the product
787856170
374×74787856170
Multiply the numbers
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Evaluate
374×74
When a square root of an expression is multiplied by itself,the result is that expression
3×74
Multiply the terms
222
222787856170
s=±222787856170
Separate the equation into 2 possible cases
s=222787856170s=−222787856170
Solution
s1=−222787856170,s2=222787856170
Alternative Form
s1≈−126.435927,s2≈126.435927
Show Solution
