Question

the equation ax² + 200x = c has two distinct roots.
the sum of roots is -2.
find the value of a.​

Answer 1

Step-by-step explanation:

a√

$a \sqrt{ {2}^2} +200 \sqrt{2} = 0 \\ 4a = - 200 \sqrt{2} \\ a = 50 \sqrt{2}$

Answer 2

$Given \: Quadratic \: equation :$

$ax^{2} + 200x - c = 0$

$Sum \: of \: the \: roots = -2$

$\implies \frac{- Coefficient \: of \: x}{Coefficient \: x } = -2$

$\implies \frac{ -200}{a} = -2$

$\implies \frac{ -200}{-2} = a$

$\implies 100 = a$

Therefore.,

$\red{ Value \: of \: a } \green { = 100 }$

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