Question

6.Find the values of a and b for which x = 34 and x = -2 are the roots of the equation ax² + bx – 6 = 0

Answer 1

Answer:

a=3/34 and b=-48/17

Step-by-step explanation:

For x=34,

ax^2+bx-6=0

a(34)^2+b(34)-6=0

1156a+34b-6=0

578a+17b-3=0 ————(1)

For x=-2,

ax^2+bx-6=0

a(-2)^2+b(-2)-6=0

4a-2b-6=0

2a-b-3=0 ————(2)

From equation1 , a=b+3/2

put the above value in equation2

578(b+3/2)+17b-3=0

289(b+3)+17b=3

289b+867+17b=3

306b=3-867

b=-864/306

b=-48/17

a=b+3/2

a=3/34

here's your answer

hope its correct

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