Question

ax²+bx+c=0 (a≠0) then a+c=?​

Answer 1

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MATHS

If b=a+c and the equation ax

2

+bx+c=0 has equal roots, then

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VIDEO EXPLANATION

ANSWER

Given quadratic equation is ax

2

+bx+c=0

Also given b=a+c

We know that, when a given equation have equal roots, then its discriminant is always equal to be zero.

Therefore, D=0

⇒b

2

−4ac=0

⇒b

2

=4ac

⇒(a+c)

2

=4ac

⇒a

2

+2ac+c

2

=4ac

⇒a

2

−2ac+c

2

=0

⇒(a−c)

2

=0

⇒a−c=0

⇒a=c