Answer:
x = 10 or x = 2
Step-by-step explanation:
Solve for x:
x^2 - 12 x + 20 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 20 from both sides:
x^2 - 12 x = -20
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 36 to both sides:
x^2 - 12 x + 36 = 16
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 6)^2 = 16
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 6 = 4 or x - 6 = -4
Hint: | Look at the first equation: Solve for x.
Add 6 to both sides:
x = 10 or x - 6 = -4
Hint: | Look at the second equation: Solve for x.
Add 6 to both sides:
Answer: x = 10 or x = 2
Answer:
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Description
DescriptionIn mathematics, a zero of a real-, complex-, or generally vector-valued function, is a member of the domain of such that vanishes at; that is, the function attains the value of 0 at, or equivalently, is the solution to the equation. A "zero" of a function is thus an input value that produces an output of
Answer:
x = -48
Step-by-step explanation:
4x + 2 = 5(x + 10)
expand the 5(x+10)
4x + 2 = 5x + 50
-2 both sides
4x + 2 - 2 = 5x + 50 - 2
simplify
4x = 5x + 48
-5x both sides
4x - 5x = 5x + 48 - 5x
simplify
-x = 48
÷ (-1) both sides
-x ÷ (-1) = 48 ÷ (-1)
simplify
x = -48
The answer is x = -48.
Answer:
Step-by-step explanation:
<u>The roots are:</u>
- 3, 3, 2 - 3i, 2 + 3i (conjugate of 2 - 3i should be added) and the leading coefficient is - 5
<u>The polynomial is:</u>
- -5(x - 3)² (x - [2 - 3i]) (x - [2 + 3i]) =
- - 5(x² - 6x + 9) (x² - 4x + 13) =
- -5(x⁴ - 10x³ + 46x² - 114x + 117) =
- -5x⁴ + 50x³ - 230x² + 570x - 585
Answer:
1470
Step-by-step explanation:
When you multiply 210 by 7 it gives you 1470.
Volume = width x height x base
Width x base = area