Advertisements
Advertisements
प्रश्न
Check whether the following is quadratic equation or not.
3x2 - 5x + 9 = x2 - 7x + 3
उत्तर
Here it has been given that,
3x2 - 5x + 9 = x2 - 7x + 3
Now, after solving the above equation further we get,
2x2 + 2x + 6 = 0
x2 + x + 3 = 0
Now as we can see, the above equation clearly represents a quadratic equation of the form ax2 + bx + c = 0, where a = 1, b = 1 and c = 3.
Hence, the above equation is a quadratic equation.
APPEARS IN
संबंधित प्रश्न
If one root of the quadratic equation kx2 – 7x + 12 = 0 is 3, then find the value of k.
The product of two consecutive positive integers is 306. Form the quadratic equation to find the integers, if x denotes the smaller integer.
Determine whether x = -1 is a root of the equation x2 – 3x +2=0 or not.
Solve `(2x)/(x - 3) + 1/(2x + 3) + (3x + 9)/((x - 3)(2x +3)) = 0; x != 3, x != - 3/2`
Solve:
2x4 – 5x2 + 3 = 0
Without solving, comment upon the nature of roots of the following equation:
25x2 − 10x + 1 = 0
Find which of the following equations are quadratic:
(3x – 1)2 = 5(x + 8)
Solve the quadratic equation 8x2 – 14x + 3 = 0
- When x ∈ I (integers)
- When x ∈ Q (rational numbers)
Choose the correct answer from the given four options :
If `(1)/(2)` is a root of the quadratic equation 4x2 – 4kx + k + 5 = 0, then the value of k is
The equation 2x2 – 3x + k = 0 is satisfied by x = 2; the value of k is ______.
