(D) Step $1$: Solve equation $I$:$821 x^{2} - 757 x^{2} = 256$$64 x^{2} = 256$$x^{2} = \frac{256}{64} = 4$$x = \pm 2$,so $x = 2$ or $x = -2$.Step $2$:

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(D) Step $1$: Solve equation $I$:$821 x^{2} - 757 x^{2} = 256$$64 x^{2} = 256$$x^{2} = \frac{256}{64} = 4$$x = \pm 2$,so $x = 2$ or $x = -2$.Step $2$: Solve equation $II$:$\sqrt{196} y^{3} - 12 y^{3} = 16$$14 y^{3} - 12 y^{3} = 16$$2 y^{3} = 16$$y^{3} = 8$$y = 2$.Step $3$: Compare $x$ and $y$:If $x = 2$,then $x = y$.If $x = -2$,then $x Combining these,we get $x \le y$.

Competitive Quantitative Aptitude Algebra QUADRATIC EQUATION

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Solve the given two equations and select the correct answer from the given options.
$I.$ $821 x^{2} - 757 x^{2} = 256$
$II.$ $\sqrt{196} y^{3} - 12 y^{3} = 16$

A
if $x > y$
B
if $x < y$
C
if $x \ge y$
D
if $x \le y$

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QUADRATIC EQUATION

The number of positive integral values of $K$ for which the equation $K = |x + |2x - 1|| - |x - |2x - 1||$ has exactly three real solutions is:

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The roots of the equation $a^{2} x^{2}-3 a b x+2 b^{2}=0$ are

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Solve the given two equations and select the correct answer from the given options.
$I.$ $5x^{2} + 2x - 3 = 0$
$II.$ $2y^{2} + 7y + 6 = 0$

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Solve the given two equations and select the correct answer from the given options.$I.$ $821 x^{2} - 757 x^{2} = 256$$II.$ $\sqrt{196} y^{3} - 12 y^{3} = 16$

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The number of positive integral values of $K$ for which the equation $K = |x + |2x - 1|| - |x - |2x - 1||$ has exactly three real solutions is:

If the roots of $4x^2 + px + 9 = 0$ are equal,then the absolute value of $p$ is:

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The roots of the equation $a^{2} x^{2}-3 a b x+2 b^{2}=0$ are

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Solve the given two equations and select the correct answer from the given options.
$I.$ $821 x^{2} - 757 x^{2} = 256$
$II.$ $\sqrt{196} y^{3} - 12 y^{3} = 16$

Solve the given two equations and select the correct answer from the given options.
$I.$ $5x^{2} + 2x - 3 = 0$
$II.$ $2y^{2} + 7y + 6 = 0$