If -5 is a root of the quadratic equation 2x square + px - 15 = 0 and the quadratic equation p(x square + x) + k = 0 has equal roots, find the value of k.
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Answered by
0
Answer:
k = 63/4
Step-by-step explanation:
In any quadratic equation ax^2 + bx + c,
Sum of roots = -b/a
Product of roots = c/a
Say the second root of the first equation and the cequal root in second equation are m and n respectively.
In the first equation,
(-5)(m) = -15/2 => m = 3/2
-5 + m = -p/2 => -5 + 3/2 = -p/2 => p = 7
In the second equation,
(m)(m) = k/p => 3x3/2x2 = k/7 => k = 63/4
Answered by
0
Answer:
either,
or,
so in both the cases p=7
now,
k=170
Huff...mah hands are tireddddd......(〒﹏〒)
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