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.
Step-by-step explanation:
the answer is $1,145.39
Answer:
3/2
Step-by-step explanation:
Let it be
C (5;4) , A (2;1) ; B(7;6)
Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)
Use the formula xc=(m*xb+n*xa)/ (m+n)
5=(m*7+2n)/(m+n)
5m+5n= 7m+2n
2m=3n
m/n=3/2
If x is not a whole number, then x≠5
