Question
Simplify the expression
34817612947−93t2
Evaluate
2199−12−31t2×3÷59÷59
Multiply the terms
2199−12−93t2÷59÷59
Rewrite the expression
2199−12−5993t2÷59
Divide the terms
More Steps

Evaluate
5993t2÷59
Multiply by the reciprocal
5993t2×591
Multiply the terms
59×5993t2
Multiply the terms
348193t2
2199−12−348193t2
Subtract the numbers
2187−348193t2
Reduce fractions to a common denominator
34812187×3481−348193t2
Write all numerators above the common denominator
34812187×3481−93t2
Solution
34817612947−93t2
Show Solution

Find the roots
t1=−31159331,t2=31159331
Alternative Form
t1≈−286.111246,t2≈286.111246
Evaluate
2199−12−31t2×3÷59÷59
To find the roots of the expression,set the expression equal to 0
2199−12−31t2×3÷59÷59=0
Multiply the terms
2199−12−93t2÷59÷59=0
Rewrite the expression
2199−12−5993t2÷59=0
Divide the terms
More Steps

Evaluate
5993t2÷59
Multiply by the reciprocal
5993t2×591
Multiply the terms
59×5993t2
Multiply the terms
348193t2
2199−12−348193t2=0
Subtract the numbers
2187−348193t2=0
Subtract the terms
More Steps

Simplify
2187−348193t2
Reduce fractions to a common denominator
34812187×3481−348193t2
Write all numerators above the common denominator
34812187×3481−93t2
Multiply the numbers
34817612947−93t2
34817612947−93t2=0
Simplify
7612947−93t2=0
Rewrite the expression
−93t2=−7612947
Change the signs on both sides of the equation
93t2=7612947
Divide both sides
9393t2=937612947
Divide the numbers
t2=937612947
Cancel out the common factor 3
t2=312537649
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±312537649
Simplify the expression
More Steps

Evaluate
312537649
To take a root of a fraction,take the root of the numerator and denominator separately
312537649
Simplify the radical expression
More Steps

Evaluate
2537649
Write the number in exponential form with the base of 1593
15932
Reduce the index of the radical and exponent with 2
1593
311593
Multiply by the Conjugate
31×31159331
When a square root of an expression is multiplied by itself,the result is that expression
31159331
t=±31159331
Separate the equation into 2 possible cases
t=31159331t=−31159331
Solution
t1=−31159331,t2=31159331
Alternative Form
t1≈−286.111246,t2≈286.111246
Show Solution
