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Recent questions tagged cubic-equations
3
votes
1
answer
1
ISI2015-DCG-29
The condition that ensures that the roots of the equation $x^3-px^2+qx-r=0$ are in $H.P.$ is $r^2-9pqr+q^3=0$ $27r^2-9pqr+3q^3=0$ $3r^3-27pqr-9q^3=0$ $27r^2-9pqr+2q^3=0$
The condition that ensures that the roots of the equation $x^3-px^2+qx-r=0$ are in $H.P.$ is$r^2-9pqr+q^3=0$$27r^2-9pqr+3q^3=0$$3r^3-27pqr-9q^3=0$$27r^2-9pqr+2q^3=0$
gatecse
442
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
cubic-equations
+
–
0
votes
1
answer
2
ISI2017-PCB-A-1
Suppose all the roots of the equation $x^3 +bx-2017=0$ (where $b$ is a real number) are real. Prove that exactly one root is positive.
Suppose all the roots of the equation $x^3 +bx-2017=0$ (where $b$ is a real number) are real. Prove that exactly one root is positive.
go_editor
544
views
go_editor
asked
Sep 19, 2018
Quantitative Aptitude
isi2017-pcb-a
quantitative-aptitude
cubic-equations
roots
descriptive
+
–
0
votes
0
answers
3
ISI2017-MMA-3
If $\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3+3x^2-8x+1=0$, then an equation whose roots are $\alpha+1, \beta+1$ and $\gamma+1$ is given by $y^3-11y+11=0$ $y^3-11y-11=0$ $y^3+13y+13=0$ $y^3+6y^2+y-3=0$
If $\alpha, \beta$ and $\gamma$ are the roots of the equation $x^3+3x^2-8x+1=0$, then an equation whose roots are $\alpha+1, \beta+1$ and $\gamma+1$ is given by $y^3-11y+...
go_editor
463
views
go_editor
asked
Sep 15, 2018
Quantitative Aptitude
isi2017-mmamma
quantitative-aptitude
cubic-equations
roots
+
–
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