Вопрос
Find the roots
s1=−6111,s2=6111
Alternative Form
s1≈−1.755942,s2≈1.755942
Evaluate
12s2−37
To find the roots of the expression,set the expression equal to 0
12s2−37=0
Move the constant to the right-hand side and change its sign
12s2=0+37
Removing 0 doesn't change the value,so remove it from the expression
12s2=37
Divide both sides
1212s2=1237
Divide the numbers
s2=1237
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±1237
Simplify the expression
Больше Шагов

Evaluate
1237
To take a root of a fraction,take the root of the numerator and denominator separately
1237
Simplify the radical expression
Больше Шагов

Evaluate
12
Write the expression as a product where the root of one of the factors can be evaluated
4×3
Write the number in exponential form with the base of 2
22×3
The root of a product is equal to the product of the roots of each factor
22×3
Reduce the index of the radical and exponent with 2
23
2337
Multiply by the Conjugate
23×337×3
Multiply the numbers
Больше Шагов

Evaluate
37×3
The product of roots with the same index is equal to the root of the product
37×3
Calculate the product
111
23×3111
Multiply the numbers
Больше Шагов

Evaluate
23×3
When a square root of an expression is multiplied by itself,the result is that expression
2×3
Multiply the terms
6
6111
s=±6111
Separate the equation into 2 possible cases
s=6111s=−6111
Решение
s1=−6111,s2=6111
Alternative Form
s1≈−1.755942,s2≈1.755942
Показать решение
