Answer:
Step-by-step explanation:
Given a general quadratic formula given as ax²bx+c = 0
To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;
Step 1:
Bringing c to the other side
ax²+bx = -c
Dividing through by coefficient of x² which is 'a' will give:
x²+(b/a)x = -c/a
- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:
x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a + b²/4a²
- Taking the square root of both sides
√(x+b/2a)² = ±√-c/a + b²/√4a²
x+b/2a = ±√(-4ac+b²)/√4a²
x+b/2a =±√b²-4ac/2a
- Taking b/2a to the other side
x = -b/2a±√√b²-4ac/2a
Taking the LCM:
x = {-b±√b²-4ac}/2a
This gives the vertex form with how it is used to Solve a quadratic equation.
Answer:
96
Step-by-step explanation:
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You can download photomath app from play store to be easy to solve your math question..
Before you will sum up the following equation, first you must multiply the first equation by two and came up with 16x+14y=78 and then add it to the second equation which is 4x-14y=-68 and the remaining variable is 20x=10 then get the value of X and the value is 1/2 or 0.5. I hope you are satisfied with my answer
Answer:
$1.82 per cup
Step-by-step explanation:
REMEMBER:16cups per gallon
2 x 16 = 32
58.24 divided by 32 = 1.82