Quadratic Equations Quiz 15

Question 1

The equation $\sqrt{x+4}-\sqrt{x-3}+1=0$ has

Accepted Answer

no root

Answer

one real root

Answer

two imaginary roots

Answer

one real and one imaginary root

Question 2

The sum of the reciprocals of the roots of the equation $x^2+px+q=0$ is

Accepted Answer

$\frac{-p}{q}$

Answer

$\frac{q}{p}$

Answer

$\frac{p}{q}$

Answer

$\frac{-q}{p}$

Question 3

The equation $x-\frac{7}{x-3}=3-\frac{7}{x-3}$ has

Accepted Answer

no roots

Answer

infinitely many roots

Answer

one integral root

Answer

two real roots

Question 4

If $\frac{b}{x-a}=\frac{x+a}{b}$ then the value of x in terms of a and b is

Accepted Answer

$\pm\sqrt{a^2+b^2}$

Answer

$\sqrt{a^2+b^2}$

Answer

$-\sqrt{a^2+b^2}$

Answer

$\pm\sqrt{a^2-b^2}$

Question 5

The standard form of a quadratic equation is

Accepted Answer

$ax^2+bx+c=0$, $a\neq0$

Answer

$ax+b=0$, $a\neq0$

Answer

$ax^3+bx^2+cx+d=0$, $a\neq0$

Answer

$ax^4+bx^3+cx^2+dx+e=0$, $a\neq0.$

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