Question

Find the value of a and b for which x = 3/4 and x = -2 are the roots of 5 the equation ax²+bx-6 =0

Answer 1

Answer:

a= 4 and b= 5

Step-by-step explanation:

since roots are 3/4 and -2

we can place the the general form which are

α + β= -B/A  (Where α and β are roots of eq )  -(1)

αβ= C/A       (Where α and β are roots of eq )    -(2)

putting α= 3/4 and β=-2

3/4 × -2= -6/a

-6/4= -6/a

⇒a= 4     -(3)

putting value of roots in eq (1)

3/4 -2 = -b/a

(3 - 8)/4 = -b/ a

-5 = -b   ---(from 3)

b= 5

ans: a = 4 and b=5