Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
6+10x2
Evaluate
−6+10x×x+12
Multiply the terms
−6+10x2+12
Solution
6+10x2
Show Solution
Factor the expression
2(3+5x2)
Evaluate
−6+10x×x+12
Multiply the terms
−6+10x2+12
Add the numbers
6+10x2
Solution
2(3+5x2)
Show Solution
Find the roots
x1=−515i,x2=515i
Alternative Form
x1≈−0.774597i,x2≈0.774597i
Evaluate
−6+10x×x+12
To find the roots of the expression,set the expression equal to 0
−6+10x×x+12=0
Multiply the terms
−6+10x2+12=0
Add the numbers
6+10x2=0
Move the constant to the right-hand side and change its sign
10x2=0−6
Removing 0 doesn't change the value,so remove it from the expression
10x2=−6
Divide both sides
1010x2=10−6
Divide the numbers
x2=10−6
Divide the numbers
More Steps
Evaluate
10−6
Cancel out the common factor 2
5−3
Use b−a=−ba=−ba to rewrite the fraction
−53
x2=−53
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−53
Simplify the expression
More Steps
Evaluate
−53
Evaluate the power
53×−1
Evaluate the power
53×i
Evaluate the power
More Steps
Evaluate
53
To take a root of a fraction,take the root of the numerator and denominator separately
53
Multiply by the Conjugate
5×53×5
Multiply the numbers
5×515
When a square root of an expression is multiplied by itself,the result is that expression
515
515i
x=±515i
Separate the equation into 2 possible cases
x=515ix=−515i
Solution
x1=−515i,x2=515i
Alternative Form
x1≈−0.774597i,x2≈0.774597i
Show Solution