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Quadratic Equation and Inequalities question

2024 · Shift 1 · Q25

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JEE Advanced
Mathematics
Quadratic Equation and Inequalities
2024 · Shift 1 · Q25

Quadratic Equation and Inequalities question

2024 · Shift 1 · Q25

JEE AdvancedMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1

Let

a=3 \sqrt{2}

and

b=\frac{1}{5^{1 / 6} \sqrt{6}}

. If

x, y \in \mathbb{R}

are such that

\begin{aligned} & 3 x+2 y=\log _a(18)^{\frac{5}{4}} \quad \text { and } \\ & 2 x-y=\log _b(\sqrt{1080}), \end{aligned}

then

4 x+5 y

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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