Answer:
(3 ± √23 * i) /4
Step-by-step explanation:
To solve this, we can apply the Quadratic Equation.
In an equation of form ax²+bx+c = 0, we can solve for x by applying the Quadratic Equation, or x = (-b ± √(b²-4ac))/(2a)
Matching up values, a is what's multiplied by x², b is what's multiplied by x, and c is the constant, so a = 2, b = -3, and c = 4
Plugging these values into our equation, we get
x = (-b ± √(b²-4ac))/(2a)
x = (-(-3) ± √(3²-4(2)(4)))/(2(2))
= (3 ± √(9-32))/4
= (3 ± √(-23))/4
= (3 ± √23 * i) /4
Answer:
x = 4
Step-by-step explanation:
3x + 2y = 26
y = x + 3
Plug in the equation for y
3x + 2(x + 3) = 26
Multiply the 2 with what is in the parantheses
3x + 2x + 6 = 26
Combine like terms and solve for x
5x + 6 = 26
5x = 20
x = 4
1/10x + 6 = 2/5x
6 = 2/5x - 1/10x
6 = 4/10x - 1/10x
6 = 3/10x
6 / (3/10) = x
6 * 10/3 = x
60/3 = x
20 = x <=== the gas tank can hold 20 gallons
Answer:
The area of the cube is 486 inches^2
Step-by-step explanation:
In this question, we are tasked with calculating the area of cube with side 9 inch.
Mathematically, the area can be calculated using the formula A = 6s^2
Now, what we need to do is to substitute 9 inches for s
Thus, A = 6 * 9^2
A = 6 * 81
A = 486 inches^2