Question

24. If a and are the zeros of the quadratic polynomial P(x) Kx2 + 4x + 4 such that a² + B2 = 24
find the value of K​

Answer 1

Answer:

a,b are the zeros of f(x)=kx²+4x+4 and

a²+b²=24

a+b=-4/k and axb=4/k

now, a+b2=24

or, (a+b)2-2ab=24

or, (-4/k)2-2x4/k=24

or, 16/k2-8/k=24

or, (16-8k)/k2=24

or, 16-8k=24K?

or, 24 K 2+8k-16=0

or, 8(3K²+k-2)=0

or, 3k2+k-2=0

or, 3k?+3k-2k-2=D0

or, 3k(k+1)-2(k+1)=0

or, (k+1)(3k-2)=0

either, k+1=0; or, k=-1 or, 3k-2=0;

or, k=2/3

Step-by-step explanation:

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