solve question no. 20
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Heya !!!
Let one zero of the given polynomial be Alpha
Other zero = 7Alpha
P(X) = 3X² - 8X - (2K +1)
Here,
A = 3 , B = -8 and C = -2K -1
Sum of zeroes = -B/A
Alpha + 7Alpha = 8/3
8Alpha = 8/3
Alpha = 8/3 × 8
Alpha = 1/3
And,
Product of zeroes = C/A
Alpha × 7Alpha = C/A
7Alpha² = -2K-1/3
7 × (1/3)² = -2K-1/3
7 × 1/9 = -2K-1/3
7 × 3/9 = -2K-1
21/9 = -2K-1
7/3 = -2K-1
-2K = 7/3+1
K = 10/3 × -2
K = -5/3
★ HOPE IT WILL HELP YOU ★
Let one zero of the given polynomial be Alpha
Other zero = 7Alpha
P(X) = 3X² - 8X - (2K +1)
Here,
A = 3 , B = -8 and C = -2K -1
Sum of zeroes = -B/A
Alpha + 7Alpha = 8/3
8Alpha = 8/3
Alpha = 8/3 × 8
Alpha = 1/3
And,
Product of zeroes = C/A
Alpha × 7Alpha = C/A
7Alpha² = -2K-1/3
7 × (1/3)² = -2K-1/3
7 × 1/9 = -2K-1/3
7 × 3/9 = -2K-1
21/9 = -2K-1
7/3 = -2K-1
-2K = 7/3+1
K = 10/3 × -2
K = -5/3
★ HOPE IT WILL HELP YOU ★
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