Answer:
- 6. See solution
- 7. k = 2, k = -6
Step-by-step explanation:
6.
<u>Given equation:</u>
- The sum of the roots is q1 and the product of the roots is q2
Need to show that q1+q2 = 0
<h3>Solution</h3>
<u>Bringing the equation into standard form of ax² + bx + c = 0:</u>
- 2(x + 2)² + p(x + 1) = 0
- 2x² + 8x + 8 + px + p = 0
- 2x² + (p + 8)x + (p + 8) = 0
<u>Sum of the roots: </u>
<u>Product of the roots:</u>
<u>We see that q1 and q2 are opposite numbers, therefore their sum equals zero:</u>
- q1 + q2 = -(p + 8)/2 + (p + 8)/2 = 0
=============================================
7.
<u>Given quadratic equation:</u>
Need to find the possible values of k
<h3>Solution</h3>
<u>When the quadratic equation has equal roots, then its discriminant is equal to zero:</u>
- D = 0
- √b² - 4ac = 0
- √(-k -2)² - 4*1*4 = 0
- √k² + 4k + 4 - 16 = 0
- √k² + 4k - 12 = 0
- k² + 4k - 12 = 0
- k = {-4 ± √4² -4*1*(-12)}/2
- k = (-4 ± √16 + 48)/2
- k = (-4±√64)/2
- k = -2 ± 4
- k = 2, k = -6
Answer:
side angle side SAS because it includes one angle and two sides.
Step-by-step explanation:
not sure but
Answer:
x = 5
Step-by-step explanation:
NOTE: THE 2 SIDES ARE THE SAME LENGTH
THEY HAVE TO BE SMALLER THEN 10
So 10/2 = 5
x = 5
<em><u>Please mark as brainliest </u></em>
Have a great day, be safe and healthy
Thank u
XD
Just take n=1,2,3,4,5 respectively to find out the first 5 terms.
First 5 terms = 4,3,2.25,1.69 respectively.
For the 5th partial sum, just add the first 5 terms.
5th partial sum = 10.34
....
First 4 terms : 5,8,11,14 respectively.
Now you need to find the other next 4 terms to find out the 8th partial sum.
17,20,23,26
8th partial sum = 124
Hope this helps:)
Answer:
20 5/8
Step-by-step explanation:
here u gooooo that's the answer
