Class 10 Math All topics Quadratic Equations

Check whether the following are Quadratic equations

$x_{3}−4x_{2}−x+1=(x−2)_{3}$

$x_{3}−4x_{2}−x+1=(x−2)_{3}$

Solution:

$x_{3}−4x_{2}−x+1=(x−2)_{3}$

$⇒x_{3}−4x_{2}−x+1=x_{3}−8−6x(x−2)$

$⇒−4x_{2}−x+1=−8−6x_{2}+12x$

$⇒−4x_{2}−x+1+8+6x_{2}−12x=0$

$⇒2x_{2}−13x+9=0$ has its highest power $2$

Hence it is a quadratic equation.

Similar topics

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

polynomials

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

polynomials

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