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.

x = 2 is not a root of the equation $2x^2–7x–5=0$.

1. True

2. False

Q.

Find the non-negative root of ${\left(\frac{3x-1}{2x+3}\right)}^2-5\left(\frac{3x-1}{2x+3}\right)+4=0$

1. 2

2. 5

3. 4

4. 3

Q.

If one root of the quadratic equation $2x^2+ax-6=0$ is 2, find the value of a.

1. -1

2. 3

3. 5

4. -5

Q.

If x = 6 is a root of the quadratic equation $3x^2-mx-24=0$, 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. -6, 6

2. -6, 3

3. 3, 3

4. -12, 6

Q.

Root of the equation $(x+\frac{1}{a}{)}^2-b^2=0is$

1. $\frac{-b}{a}$

2. $-b-\frac{1}{a}$

3. $b+\frac{1}{a}$

4. $-ab$

Q.

Find the value of a if 3 is one of the solution of the equation $2x^2+ax+6=0$.

1. 3

2. 5

3. -8

4. 7

Q. Find the value of y for which the expression $y^2-8$ becomes zero.

1. 2

2. $2\sqrt{2}$

3. 4

4. 3

Q.

Find the value of the constant ‘m’ if :
y = – 1 is a root of the quadratic equation $7+4(m+2)y–y^2$ = 0.

__