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प्रश्न
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
Degree of quadratic equation is always ______
पर्याय
1
2
3
4
उत्तर
2
APPEARS IN
संबंधित प्रश्न
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`
Choose the correct alternative answer for the following sub questions and write the correct alphabet.
If one of the roots of quadratic equation X2 – kX + 27 = 0 is 3, then find the value of ‘k’
To decide whether 1 is a root of quadratic equation x2 + 4x – 5 = 0 or not, complete the following activity.
Activity: When x = (______)
L.H.S. = 12 + 4(______) – 5
= 1 + 4 – 5
= (______) – 5
= ______
= R.H.S
Therefore x = 1 is a root of quadratic equation x2 + 4x – 5 = 0
If one of the roots of quadratic equation x2 – kx – 15 = 0 is – 3, then find the value of ‘k’
Solve the following quadratic equations by formula method.
5m2 – 4m – 2 = 0
Solve the following quadratic equations by formula method.
`y^2 + 1/3y` = 2
Solve the following quadratic equation.
`1/(4 - "p") - 1/(2 + "p") = 1/4`
Determine whether 2 is a root of quadratic equation 2m2 – 5m = 0.
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
Determine whether (x – 3) is a factor of polynomial x3 – 19x + 30.
Let P(x) = x3 – 19x + 30
By remainder theorem, `square` will be a factor of P(x), if P(3) = 0
Now, P(3) = `square` – 19 `square` + 30
= `square – square` + 30
= `square – square`
= 0
∵ P(3) = 0
Hence, `square` is a factor of polynomial x3 – 19x + 30.
If the sum of the roots of the quadratic equation x2 + kx + 6 = 0 is 6, then the value of k is ______.
If the roots of the quadratic equation x2 + 12x + a = 0 are real and equal, then find the value of a.
The value of the discriminant of the equation x2 + 6x – 15 = 0 is ______.
If x = `sqrt(7) - 2`, find the value of `(x + 1/x)`.
