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

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

Competitive Quantitative Aptitude Algebra QUADRATIC EQUATION

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Solve the given two equations and choose 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 $x = y$ or relationship between $x$ and $y$ cannot be established.

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Algebra

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QUADRATIC EQUATION

If $\alpha$ and $\beta$ are the roots of $x^2 - 3x + a = 0$,where $a \in R$ and $\alpha < 1 < \beta$,then:

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If $f(x) = ax^2 + 2bx + c = 0$ has imaginary roots and $4a + 4b + c < 0$,then:

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Solve the given two equations and select the correct answer from the given options.
$I.$ $\sqrt{1225} x + \sqrt{4900} = 0$
$II.$ $(81)^{1/4} y + (343)^{1/3} = 0$

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The number of integers satisfying the inequality $\sqrt{\log_3(x) - 1} + \frac{\frac{1}{2}\log_3(x^3)}{\log_3(\frac{1}{3})} + 2 > 0$ is

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If $x+y=2z$,find the value of $\frac{x}{x-z}+\frac{z}{y-z}$.

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

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If $\alpha$ and $\beta$ are the roots of $x^2 - 3x + a = 0$,where $a \in R$ and $\alpha < 1 < \beta$,then:

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Solve the given two equations and select the correct answer from the given options.$I.$ $\sqrt{1225} x + \sqrt{4900} = 0$$II.$ $(81)^{1/4} y + (343)^{1/3} = 0$

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Solve the given two equations and choose 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 answer from the given options.
$I.$ $\sqrt{1225} x + \sqrt{4900} = 0$
$II.$ $(81)^{1/4} y + (343)^{1/3} = 0$