Quadratic Equat...

Find the maximum value of the expression 

Find the minimum value of the expression (p +1/p); p > 0.

The expression a² + ab + b² is _________for a < 0, b < 0

 Find the roots of the quadratic equation: x2 + 2x - 15 = 0?​

Two numbers a and b are such that the quadratic equation ax² + 3x + 2b = 0 has - 6 as the sum and the product of the roots. Find a + b.

Find the value of the expression

If the roots of the equation (a² + b²) x² - 2b(a + c) x + (b² + c²) = 0 are equal then a, b, c, are in

If x² + ax + b leaves the same remainder 5 when divided by x - 1 or x + 1 then the values of a and b are respectively

Read the data given below and it solve the questions based on.
If α and β? are roots of the equation x² + x - 7 = 0 then.

Find α² + β²

For what values o f c in the equation 2x² - (c³ + 8c - l)x + c² - 4c = 0 the roots of the equation would be opposite in signs?

The expression x² + kx + 9 becomes positive for what values of k (given that x is real)?

In the Maths Olympiad of 2020 at Animal Planet, two representatives from the donkey’s side, while solving a quadratic equation, committed the following mistakes: (i) One of them made a mistake in the constant term and got the roots as 5 and 9. (ii) Another one committed an error in the coefficient of x and he got the roots as 12 and 4.But in the meantime, they realised that they are wrong and they managed to get it right jointly. Find the quadratic equation.

For what value of b and c would the equation x² + bx + c = 0 have roots equal to b and c.

A journey between Mumbai and Pune (192 km apart) takes two hours less by a car than by a truck. Determine the average speed of the car if the average speed of the truck is 16 km/h less than the car.