Advertisements
Advertisements
Question
Find the value of discriminant of the following equation.
2y2 − y + 2 = 0
Solution
2y2 − y + 2 = 0
For the quadratic equation, ax2 + bx + c = 0
D = b2 − 4ac
Here,
a = 2, b = −1, c = 2
D = (−1)2 − 4 × 2 × 2
= 1 − 16
= −15
RELATED QUESTIONS
Compare the given quadratic equation to the general form and write values of a, b, c.
x2 – 7x + 5 = 0
Compare the given quadratic equation to the general form and write values of a,b, c.
y2 = 7y
Solve using formula.
x2 – 3x – 2 = 0
Solve using formula.
3m2 + 2m – 7 = 0
Solve using formula.
5m2 – 4m – 2 = 0
With the help of the flow chart given below solve the equation \[x^2 + 2\sqrt{3}x + 3 = 0\] using the formula.
Find the value of discriminant of the following equation.
5m2 - m = 0
Find the value of discriminant of the following equation.
\[\sqrt{5} x^2 - x - \sqrt{5} = 0\]
One of the roots of quadratic equation \[2 x^2 + kx - 2 = 0\] is –2. find k.
Two roots of quadratic equation is given ; frame the equation.
10 and –10
Two roots of quadratic equation is given ; frame the equation.
0 and 7
Determine the nature of root of the quadratic equation.
\[3 x^2 - 5x + 7 = 0\]
Determine the nature of root of the quadratic equation.
m2 - 2m + 1 = 0
The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation.
Find quadratic equation such that its roots are square of sum of the roots and square of difference of the roots of equation \[2 x^2 + 2\left( p + q \right)x + p^2 + q^2 = 0\]
The difference between squares of two numbers is 120. The square of smaller number is twice the greater number. Find the numbers.
