Question

Form the quadratic equation whose roots are 7/5 and 7-/5

Answer 1

Answer:

$25x^{2} - 49$

Step-by-step explanation:

If alpha = 7/5  and beta = -7/5

We know that alpha + beta = -b/a and alpha x beta = c/a

So, 7/5 - 7/5 = -b/a, 0 = -b/a    --------------------- (1)

And, 7/5 x -7/5 = c/a. -49/25 = c/a -------------- (2)

We can write it as -b/a = 0/25 and c/a as -49/25.

Substituting the values, we get $25x^{2} - 49$.