Advertisements
Advertisements
प्रश्न
Find the value of a, b, c in the following quadratic equation: 2x2 + 18 = 6x
उत्तर
2x2 + 18 = 6x
2x2 - 6x + 18 = 0
Comparing with the standard form of ax2 + bx + c = 0
we get,
a = 2, b = -6, and c = 18
APPEARS IN
संबंधित प्रश्न
If α + β = 5 and α3 +β3 = 35, find the quadratic equation whose roots are α and β.
Check whether the following is quadratic equation or not.
`sqrt(3x^2)-2x+1/2=0`
In the following, find the value of k for which the given value is a solution of the given equation:
x2 + 3ax + k = 0, x = -a
The height of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, form the quadratic equation to find the base of the triangle.
Solve `9/2 x = 5 + x^2`
Solve `a^2x^2 - b^2 = 0`
Solve:
2x4 – 5x2 + 3 = 0
If x = − 3 and` x = 2/3 `are solution of quadratic equation `mx^2 + 7x + n = 0`, find the values of m and n.
`9x-3x-2=0`
The perimeter of a rectangular field is 82m and its area is 400m2, find the dimension of the rectangular field.
A train travels a distance of 300kms at a constant speed. If the speed of the train is increased by 10km/ hour, the j ourney would have taken 1 hour less. Find the original speed of the train.
Find the value of x, if a + 1 = 0 and x2 + ax – 6 = 0.
If -1 and 3 are the roots of x2+px+q=0
then find the values of p and q
Solve:
`sqrt(x/(x - 3)) + sqrt((x - 3)/x) = 5/2`
If x + y = 5 and x - y = 1, then find the value of x.
In each of the following find the values of k of which the given value is a solution of the given equation:
7x2 + kx -3 = 0; x = `(2)/(3)`
Check whether the following are quadratic equations: `x + (2)/x = x^2, x ≠ 0`
Solve the following equation by using formula :
4x2 – 4ax + (a2 – b2) = 0
Solve:
`2((2x - 1)/(x + 3)) - 3((x + 3)/(2x - 1)) = 5; x ≠ -3, (1)/(2)`
The cubic equation has degree:
