Answer:
19.2
Step-by-step explanation:
The value of k is -6
Step-by-step explanation:
The general form of the quadratic equation is y = ax² + bx + c
- The roots of the equation is the values of x when y = 0
- ax² + bx + c = 0, is used to find the roots
∵ 2x² + 11x = -k
- Add k to both sides
∴ 2x² + 11x + k = 0
∵ The roots of the quadratic equations is the values of x when y = 0
∵
is a root of the equation
- Substitute x by
in the equation above to find k
∵ 2(
)² + 11(
) + k = 0
∴ 2(
) +
+ k = 0
∴
+
+ k = 0
- Add the like terms
∵
+
=
= 6
∴ 6 + k = 0
- Subtract 6 from both sides
∴ k = -6
The value of k is -6
Learn more:
You can learn more about the quadratic equations in brainly.com/question/8196933
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Step-by-step explanation:
(2(x+y)÷(x+y)(x-y) )×(x+y÷(x^2+2×x×2y+2y^2)
2÷x^2+2y^2
Answer:
- 3/4 - 1/4 = 1/2
- 5/8 - 1/8 = 1/2
Step-by-step explanation:
You can pick just about any fraction with an odd numerator and find another at distance 1/2 from it.
For example, 5/7 - 1/2 = 10/14 - 7/14 = 3/14. So your subtraction problem can be ...
5/7 - 3/14 = 1/2
Choosing a denominator divisible by 4 can make both parts of the problem use the same denominator.
3/4 - 2/4 = 1/4, so the corresponding subtraction problem is 3/4 - 1/4 = 1/2.
5/8 - 4/8 = 1/8, so the subtraction problem is 5/8 -1/8 = 1/2.