Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(z2−2876)
Evaluate
3z2−8628
Solution
3(z2−2876)
Show Solution
Find the roots
z1=−2719,z2=2719
Alternative Form
z1≈−53.628351,z2≈53.628351
Evaluate
3z2−8628
To find the roots of the expression,set the expression equal to 0
3z2−8628=0
Move the constant to the right-hand side and change its sign
3z2=0+8628
Removing 0 doesn't change the value,so remove it from the expression
3z2=8628
Divide both sides
33z2=38628
Divide the numbers
z2=38628
Divide the numbers
More Steps
Evaluate
38628
Reduce the numbers
12876
Calculate
2876
z2=2876
Take the root of both sides of the equation and remember to use both positive and negative roots
z=±2876
Simplify the expression
More Steps
Evaluate
2876
Write the expression as a product where the root of one of the factors can be evaluated
4×719
Write the number in exponential form with the base of 2
22×719
The root of a product is equal to the product of the roots of each factor
22×719
Reduce the index of the radical and exponent with 2
2719
z=±2719
Separate the equation into 2 possible cases
z=2719z=−2719
Solution
z1=−2719,z2=2719
Alternative Form
z1≈−53.628351,z2≈53.628351
Show Solution