Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3g4−12
Evaluate
g4×3−10−2
Use the commutative property to reorder the terms
3g4−10−2
Solution
3g4−12
Show Solution
Factor the expression
3(g2−2)(g2+2)
Evaluate
g4×3−10−2
Use the commutative property to reorder the terms
3g4−10−2
Subtract the numbers
3g4−12
Solution
3(g2−2)(g2+2)
Show Solution
Find the roots
g1=−2,g2=2
Alternative Form
g1≈−1.414214,g2≈1.414214
Evaluate
g4×3−10−2
To find the roots of the expression,set the expression equal to 0
g4×3−10−2=0
Use the commutative property to reorder the terms
3g4−10−2=0
Subtract the numbers
3g4−12=0
Move the constant to the right-hand side and change its sign
3g4=0+12
Removing 0 doesn't change the value,so remove it from the expression
3g4=12
Divide both sides
33g4=312
Divide the numbers
g4=312
Divide the numbers
More Steps
Evaluate
312
Reduce the numbers
14
Calculate
4
g4=4
Take the root of both sides of the equation and remember to use both positive and negative roots
g=±44
Simplify the expression
More Steps
Evaluate
44
Write the number in exponential form with the base of 2
422
Reduce the index of the radical and exponent with 2
2
g=±2
Separate the equation into 2 possible cases
g=2g=−2
Solution
g1=−2,g2=2
Alternative Form
g1≈−1.414214,g2≈1.414214
Show Solution