Question
Simplify the expression
103269M2−2016
Evaluate
M2×103269−2016
Solution
103269M2−2016
Show Solution

Factor the expression
107(467M2−2880)
Evaluate
M2×103269−2016
Use the commutative property to reorder the terms
103269M2−2016
Solution
107(467M2−2880)
Show Solution

Find the roots
M1=−467242335,M2=467242335
Alternative Form
M1≈−2.483349,M2≈2.483349
Evaluate
M2×103269−2016
To find the roots of the expression,set the expression equal to 0
M2×103269−2016=0
Use the commutative property to reorder the terms
103269M2−2016=0
Move the constant to the right-hand side and change its sign
103269M2=0+2016
Removing 0 doesn't change the value,so remove it from the expression
103269M2=2016
Multiply by the reciprocal
103269M2×326910=2016×326910
Multiply
M2=2016×326910
Multiply
More Steps

Evaluate
2016×326910
Reduce the numbers
288×46710
Multiply the numbers
467288×10
Multiply the numbers
4672880
M2=4672880
Take the root of both sides of the equation and remember to use both positive and negative roots
M=±4672880
Simplify the expression
More Steps

Evaluate
4672880
To take a root of a fraction,take the root of the numerator and denominator separately
4672880
Simplify the radical expression
More Steps

Evaluate
2880
Write the expression as a product where the root of one of the factors can be evaluated
576×5
Write the number in exponential form with the base of 24
242×5
The root of a product is equal to the product of the roots of each factor
242×5
Reduce the index of the radical and exponent with 2
245
467245
Multiply by the Conjugate
467×467245×467
Multiply the numbers
More Steps

Evaluate
5×467
The product of roots with the same index is equal to the root of the product
5×467
Calculate the product
2335
467×467242335
When a square root of an expression is multiplied by itself,the result is that expression
467242335
M=±467242335
Separate the equation into 2 possible cases
M=467242335M=−467242335
Solution
M1=−467242335,M2=467242335
Alternative Form
M1≈−2.483349,M2≈2.483349
Show Solution
