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Recent questions tagged cubic-equations

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CAT 2003 | Question: 2-72
The number of roots common between $x^3 + 3 x^2 + 4x + 5 = 0$ and $x^3 + 2 x^2 + 7x +3 =0$ is $0$ $1$ $2$ $3$
The number of roots common between $x^3 + 3 x^2 + 4x + 5 = 0$ and $x^3 + 2 x^2 + 7x +3 =0$ is$0$$1$$2$$3$
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CAT 2000 | Question: 100
If the equation $x^3 – ax^2 + bx – a = 0$ has three real roots, then it must be the case that $b=1$ $b \neq 1$ $a=1$ $a \neq 1$
If the equation $x^3 – ax^2 + bx – a = 0$ has three real roots, then it must be the case that$b=1$$b \neq 1$$a=1$$a \neq 1$
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3
CAT 2008 | Question: 14
If the roots of the equation $x^3 -ax^2 +bx - c =0$ are three consecutive integers, then what is the smallest possible value of $b?$ $-\frac{1}{\sqrt{3} }$ $-1$ $0$ $1$ $\frac{1}{\sqrt{3} }$
If the roots of the equation $x^3 -ax^2 +bx - c =0$ are three consecutive integers, then what is the smallest possible value of $b?$$-\frac{1}{\sqrt{3} }$$-1$$0$$1$$\frac...
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