Class 10

Math

All topics

Quadratic Equations

If $x−y=7$ and $xy=9$, find the value of $(x_{2}+y_{2})$.

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What is the degree of the quadratic equation in $x$?$x_{2}−x+3=0$

If $(a_{2}+b_{2})x_{2}+2(ab+bd)x+c_{2}+d_{2}=0$ has real roots then

prove that $a_{3}(b−c)_{3}+b_{3}(c−a)_{3}+c_{3}(a−b)_{3}=$ $a_{3}(c−b)+b_{3}(a−c)+c_{3}(b−a)$

A train travels at a certain average speed for a distance of 63km and then travels a distance of 72km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is its original average speed?

Add the following $2p_{2}q_{2}−3pq+4=0$, $5+7pq−3p_{2}q_{2}=0$

Find number of positive integral values of $α$ for which roots of equation $6x_{2}−11x+α=0$ are rational (a) 3 (b) 2 (c) 1 (d) 4

Find the roots of $ax_{2}+bx+c=0(a=0)$ by the method of completing the square.