Quadratic Equation (One Variable)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #21

State True or False. The roots of the equation `x^2+x+1=0` are real.

Question No: #22

If one of the roots of the equation `x^2-(2+b)x+6=0` is `2`, then what will be its other root?

Question No: #23

If two roots of the equation `x^2+px+q=0` are `p` and `q`, then find the value of `p` and `q`.

Question No: #24

Find the quadratic equation whose sum and product of the roots are `b/a` and `c^2/b` respectively.

Question No: #25

If the sum of the roots of the equation `x^2-x=K(2x-1)` is 2, then find the value of `K`.

Question No: #26

Find the ratio of sum and product of the roots of the equation `7x^2-66x+27=0`.

Question No: #27

If the roots of the equation `x^2-22x+105=0` are `\alpha` and `\beta` , then find the value of `\alpha - \beta`.

Question No: #28

If the roots of the quadratic equation `5x^2-2x+3=0` are `\alpha` and `\beta`, then find the value of `1/\alpha + 1/\beta`.

Question No: #29

If the roots of quadratic equation `5x^2+2x-3=0` are `\alpha` and `\beta`, then find the value of `(\frac{\alpha^2}{\beta}+\frac{\beta^2}{\alpha})`.

Question No: #30

If the `x` excluded term of the equation `x^2+ax+b=0` is misprinted as 36 instead of 30, it turns out that roots are 10 and 3; then find the correct quadratic equation.