(A) For equation $I$: $x^{2}+12x+36=0$This can be written as $(x+6)^{2}=0$,so $x = -6, -6$.For equation $II$: $y^{2}+15y+56=0$Factoring the quadratic:

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(A) For equation $I$: $x^{2}+12x+36=0$This can be written as $(x+6)^{2}=0$,so $x = -6, -6$.For equation $II$: $y^{2}+15y+56=0$Factoring the quadratic: $y^{2}+7y+8y+56=0$$y(y+7)+8(y+7)=0$$(y+7)(y+8)=0$,so $y = -7, -8$.Comparing the values:$x = -6$$y = -7$ or $-8$Since $-6 > -7$ and $-6 > -8$,it follows that $x > y$.

Competitive Quantitative Aptitude Algebra QUADRATIC EQUATION

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Solve the given two equations and select the correct answer from the given options.
$I.$ $x^{2}+12x+36=0$
$II.$ $y^{2}+15y+56=0$

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

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QUADRATIC EQUATION

Number of integral values of $m$ for which ${x}^2 + 5m{x} - 3m + 1 < 0$ $\forall x \in R$ is (where ${.}$ denotes the fractional part function).

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If ${x^{2/3}} - 7{x^{1/3}} + 10 = 0,$ then $x = $

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The value of $k$ for which the roots $\alpha, \beta$ of the equation $x^{2}-6x+k=0$ satisfy the relation $3\alpha+2\beta=20$ is:

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Solve the given two equations and select the correct option.
$I.$ $36 x^{2}+47 \sqrt{7} x+105=0$
$II.$ $35 y^{2}+20 \sqrt{3} y+63 \sqrt{2} y+36 \sqrt{6}=0$

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The solution of the inequality $2x^2 + 3x - 9 \le 0$ is given by

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Solve the given two equations and select the correct answer from the given options.$I.$ $x^{2}+12x+36=0$$II.$ $y^{2}+15y+56=0$

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Number of integral values of $m$ for which ${x}^2 + 5m{x} - 3m + 1 < 0$ $\forall x \in R$ is (where ${.}$ denotes the fractional part function).

If ${x^{2/3}} - 7{x^{1/3}} + 10 = 0,$ then $x = $

The value of $k$ for which the roots $\alpha, \beta$ of the equation $x^{2}-6x+k=0$ satisfy the relation $3\alpha+2\beta=20$ is:

Solve the given two equations and select the correct option.$I.$ $36 x^{2}+47 \sqrt{7} x+105=0$$II.$ $35 y^{2}+20 \sqrt{3} y+63 \sqrt{2} y+36 \sqrt{6}=0$

The solution of the inequality $2x^2 + 3x - 9 \le 0$ is given by

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Solve the given two equations and select the correct answer from the given options.
$I.$ $x^{2}+12x+36=0$
$II.$ $y^{2}+15y+56=0$

Solve the given two equations and select the correct option.
$I.$ $36 x^{2}+47 \sqrt{7} x+105=0$
$II.$ $35 y^{2}+20 \sqrt{3} y+63 \sqrt{2} y+36 \sqrt{6}=0$