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.
(If It's a number like this: 8/9 then it's a fraction)
Answer:
<h2><em><u>
9. -2/6</u></em></h2><h2><em><u>
10. -6/-10</u></em></h2><h2><em><u>
11. 3/4</u></em></h2>
Step-by-step explanation:
Yay, I love doing these!
9.} 6 - 8 and 4- -2= -2/6
10.} 3 - 9 and -1 - 9= -6/-10
11.} -1 - -7 and 5 - -3= 6/8 simplify it by 2= 3/4
Answer:
x=3
Step-by-step explanation:
x^2=9
x=3
Answer: below
Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)
Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.
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