Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4−63x2
Evaluate
4−9x2×7
Solution
4−63x2
Show Solution
Find the roots
x1=−2127,x2=2127
Alternative Form
x1≈−0.251976,x2≈0.251976
Evaluate
4−9x2×7
To find the roots of the expression,set the expression equal to 0
4−9x2×7=0
Multiply the terms
4−63x2=0
Move the constant to the right-hand side and change its sign
−63x2=0−4
Removing 0 doesn't change the value,so remove it from the expression
−63x2=−4
Change the signs on both sides of the equation
63x2=4
Divide both sides
6363x2=634
Divide the numbers
x2=634
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±634
Simplify the expression
More Steps
Evaluate
634
To take a root of a fraction,take the root of the numerator and denominator separately
634
Simplify the radical expression
More Steps
Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
632
Simplify the radical expression
More Steps
Evaluate
63
Write the expression as a product where the root of one of the factors can be evaluated
9×7
Write the number in exponential form with the base of 3
32×7
The root of a product is equal to the product of the roots of each factor
32×7
Reduce the index of the radical and exponent with 2
37
372
Multiply by the Conjugate
37×727
Multiply the numbers
More Steps
Evaluate
37×7
When a square root of an expression is multiplied by itself,the result is that expression
3×7
Multiply the terms
21
2127
x=±2127
Separate the equation into 2 possible cases
x=2127x=−2127
Solution
x1=−2127,x2=2127
Alternative Form
x1≈−0.251976,x2≈0.251976
Show Solution