Given the following quadratic equations: Equation I: p x 2 − 9 x + 7 = 0 p x^2 - 9x + 7 = 0 p x 2 − 9 x + 7 = 0 Equation II: q y 2 − 8 y + 4 = 0 q y^2...

Banking RBI Grade B Prelims Medium Number System (including HCF LCM) MCQ

Question

Given the following quadratic equations:

Equation I: $p x^2 - 9x + 7 = 0$

Equation II: $q y^2 - 8y + 4 = 0$

where:

$p$ and $q$ are positive integers,
One root of Equation II is $\frac{2}{3}$ ,
The ratio of the highest root of Equation I to the highest root of Equation II is $7 : 4$ .

Find both roots of the equation:

(p+q)^2 a^2 + (3 p q + 1) a - 6 = 0

$\frac{4}{25}, -1$

$\frac{2}{25}, -1$

$\frac{8}{25}, -1$

$\frac{3}{25}, -1$

$\frac{6}{25}, -1$

quadratic equationsrootsratioalgebrarbi grade b

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