Roots of Quadratic equation

Q. If the roots of $x^2+8x+15=0$ are -3 and -5, then the roots of $6x^2+48x+90=0$ are .

1. -3 and -5
2. -30 and -50
3. -18 and -30
4. 3 and 5

Q.

State true or false.
x = - 1 is a zero of the quadratic polynomial $3x^2+7x+2$.

1. True

2. False

Q. The sum of all real roots of the equation ${|x-2|}^2+|x-2|-2=0$ is

1. $12$
2. $7$
3. $3$
4. $4$

Q. The roots of the equation $2x^2-7x+14=0$ are ___________

1. Real and equal
2. Greater than zero
3. Real and unequal
4. Imaginary

Q. The product of two fractions is $\frac{5}{27}$ and their difference is $\frac{11}{18}$.. Find the two fractions.

Q.

x = 2 is not a zero of quadratic polynomial $2x^2–7x–5$.

1. False

2. True

Q.

If one root of the equation $2x^2+ax+6=0$ is 3, then the value of a is ___________.

1. -8

2. 7

3. 3

4. 5

Q.

If x = 6 is a zero of quadratic polynomial $3x^2–mx-24$, then the value of m is __

Q. If the solutions of the equation $x^2+3x-18=0$ are -6, 3, then the roots of the equation $2(x^2+3x-18)=0$ are _____.

1. -12, 6
2. -6, 3
3. 3, 3
4. -6, 6

Q. Which of the following is the root of quadratic equation $(x+\frac{1}{a}{)}^2-b^2=0$?

1. $\frac{-b}{a}$
2. $-b-\frac{1}{a}$
3. $b+\frac{1}{a}$
4. $-ab$