Question
Simplify the expression
43n2−43066
Evaluate
n2×43−64−43002
Use the commutative property to reorder the terms
43n2−64−43002
Solution
43n2−43066
Show Solution

Find the roots
n1=−431851838,n2=431851838
Alternative Form
n1≈−31.647036,n2≈31.647036
Evaluate
n2×43−64−43002
To find the roots of the expression,set the expression equal to 0
n2×43−64−43002=0
Use the commutative property to reorder the terms
43n2−64−43002=0
Subtract the numbers
43n2−43066=0
Move the constant to the right-hand side and change its sign
43n2=0+43066
Removing 0 doesn't change the value,so remove it from the expression
43n2=43066
Divide both sides
4343n2=4343066
Divide the numbers
n2=4343066
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±4343066
Simplify the expression
More Steps

Evaluate
4343066
To take a root of a fraction,take the root of the numerator and denominator separately
4343066
Multiply by the Conjugate
43×4343066×43
Multiply the numbers
More Steps

Evaluate
43066×43
The product of roots with the same index is equal to the root of the product
43066×43
Calculate the product
1851838
43×431851838
When a square root of an expression is multiplied by itself,the result is that expression
431851838
n=±431851838
Separate the equation into 2 possible cases
n=431851838n=−431851838
Solution
n1=−431851838,n2=431851838
Alternative Form
n1≈−31.647036,n2≈31.647036
Show Solution
