Advertisements
Advertisements
प्रश्न
Write the roots of following quadratic equation.
(p – 5) (p + 3) = 0
उत्तर
(p – 5) (p + 3) = 0
∴ p – 5 = 0 or p + 3 = 0
∴ p = 5 or p = – 3
∴ The roots of the given equation are 5 and – 3.
संबंधित प्रश्न
If the roots of 2x2 - 6x + k = 0 are real and equal, find k.
If α and β are the roots of the quadratice equation x²- 2x - 7= 0, find the
value α² + β²
If α and β are the roots of the quadratic equation `x^2 - 4x - 6 = 0`, find the values of (i) `α^2+β^2` (ii) `α^3+β^3`
Form the quadratic equation if the roots are 3 and 8.
If one root of the quadratic, x2 - 7x + k = 0 is 4. then find the value of k.
Form the quadratic equation if its roots are 5 and 7.
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
Degree of quadratic equation is always ______
If one of the roots of quadratic equation x2 + kx + 54 = 0 is – 6, then complete the following activity to find the value of ‘k’.
Activity: One of the roots of the quadratic equation x2 + kx + 54 = 0 is – 6.
Therefore let’s take x = ______
(– 6)2 + k(– 6) + 54 = 0
(______) – 6k + 54 = 0
– 6k + ______ = 0
k = ______
If one of the roots of quadratic equation x2 – kx – 15 = 0 is – 3, then find the value of ‘k’
Form a quadratic equation if the roots of the quadratic equation are `2 + sqrt(7)` and `2 - sqrt(7)`
Sum of the roots of the quadratic equation is 5 and sum of their cubes is 35, then find the quadratic equation
One of the roots of equation kx2 – 10x + 3 = 0 is 3. Complete the following activity to find the value of k.
Activity:
One of the roots of equation kx2 – 10x + 3 = 0 is 3.
Putting x = `square` in the above equation
∴ `"k"(square)^2 - 10 xx square + 3` = 0
∴ `square` – 30 + 3 = 0
∴ 9k = `square`
∴ k = `square`
Solve the following quadratic equation using formula:
x2 + 10x + 2 = 0
The value of the discriminant of the equation x2 + 6x – 15 = 0 is ______.
Show that (x + 1) is a factor of the polynomial `x^3 - x^2 - (2 + sqrt(2))x + sqrt(2)`.
If x = `sqrt(7) - 2`, find the value of `(x + 1/x)`.
Find the roots of the quadratic equation `x^2 - (sqrt(3) + 1)x + sqrt(3)` = 0.