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If P and Q are the roots of f(x) = x^{2}  14x + 45, then find the value of (1/P +1/Q)
The expression a^{2} + ab + b^{2} is _________for a < 0, b < 0
Find the roots of the quadratic equation: x^{2} + 2x  15 = 0?
Two numbers a and b are such that the quadratic equation ax^{2} + 3x + 2b = 0 has  6 as the sum and the product of the roots. Find a + b.
If the roots of the equation (a^{2} + b^{2}) x^{2}  2b(a + c) x + (b^{2} + c^{2}) = 0 are equal then a, b, c, are in
If x^{2} + 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 x^{2} + x  7 = 0 then.
Find α^{2} + β^{2}
For what values o f c in the equation 2x^{2}  (c^{3} + 8c  l)x + c^{2}  4c = 0 the roots of the equation would be opposite in signs?
The expression x^{2} + 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 x^{2} + 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.
If P and Q are the roots of f(x) = x^{2}  14x + 45, then find the value of (1/P +1/Q)
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207 videos156 docs192 tests
