if 2/3 and -3 are the zeros of the quadratic equation ax²+7x+b then find a and b
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Answer:
The given equation is ax2 + 7x + b = 0. Its roots are given as x 1 = − 3 and x 2 = 2 3 . Thus, the values of a and b are 3 and −6, respectively.
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Answered by
2
Answer:
ax2+7x+b
Alpha + beta = 2/3-3 = 2-9/3 = -7/3
Also, Alpha + beta= -B/A = -7/a
comparing these 2 equations we get, a= 3
Now,
Alpha×Beta= 2/3× -3= -2
Also, Alpha×Beta= C/A = b/3
compiring these 2 equations,
b/3= -2
b= 3× -2
b = -6
HOPE THIS HELPS!
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