Question

If the roots of the quadratic equation are -3 and -7 then this quadratic equation can be written as​

Answer 1

Answer:

Given equation is 2ax(ax+nc)+(n

2

−2)c

2

=0

The equation can be written as 2a

2

x

2

+2ancx+(n

2

−2)c

2

=0

Given that the equation have real roots

For it to have real roots, the discriminant must be greater than or equal to zero.

⇒(2anc)

2

−8(ac)

2

(n

2

−2)≥0

⇒4(ac)

2

(n

2

−2n

2

+4)≥0

⇒4(ac)

2

(4−n

2

)≥0

The above equation is always true if 4−n

2

≥0

⇒n

2

≤4

⇒−2≤n≤2

Step-by-step explanation:

please give thank and please mark as brilliant