Class 10

Math

All topics

Quadratic Equations

State whether the given algebraic expressions are polynomials ? Justify.$x_{2}+7x+9$

An algebraic expression in which variable involved have only non-negative integral power.

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Solve for x$3 x_{2}−22 x−23 =0$

Match the ColumnsMatch the conditions/expressions in Column I withstatement in Column II Let $f(x)=x_{2}−5x+6x_{2}−6x+5 $.

Let $a,b,c,p,q$ be the real numbers. Suppose $α,β$ are the roots of the equation $x_{2}+2px+q=0$. and $α,β1 $ are the roots of the equation $ax_{2}+2bx+c=0$, where $β∈/{−1,0,1}$. Statement I $(p_{2}−q)(b_{2}−ac)≥0$ Statement 11 $b∈/pa$ or $c∈/qa$.

Find which of the following equations are quadratic:$7x_{3}−2x_{2}+10=(2x−5)_{2}$

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

Solve $4ab−2(a_{2}−b_{2})− 1$

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:$t_{2}+1$

Identify the standard form of the given equation$(4x−5)(4x+5)=0$.