Advertisements
Advertisements
प्रश्न
Check whether the following are the quadratic equation:
(x + 1)2 = 2(x - 3)
उत्तर
(x + 1)2 = 2(x - 3)
⇒ x2 + 2x + 1 = 2x - 6
⇒ x2 + 2x + 1 - 2x + 6 = 0
⇒ x2 + 7 = 0
It is of the form ax2 + bx + c = 0.
Hence, the given equation is a quadratic equation.
APPEARS IN
संबंधित प्रश्न
Represent the following situation in the form of a quadratic equation.
A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.
Check whether the following is quadratic equation or not.
`x+1/x=1`
In the following, determine whether the given values are solutions of the given equation or not:
`x+1/x=13/6`, `x=5/6`, `x=4/3`
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
Solve `(3x - 2)/(2x - 3) = (3x - 8)/(x + 4)`
Use the substitution y = 2x + 3 to solve for x, if 4(2x + 3)2 – (2x + 3) – 14 = 0.
Solve the following equation for x and give, in the following case, your answer correct to one decimal place:
5x2 + 10x – 3 = 0
Which of the following are quadratic equation in x?
`x^2-1/x^2=5`
`6x^2+11x+3=0`
`6x^2+x--12=0`
`100x^2-20x+1=0`
`12abx^2-(9a^2-8b^2)x-6ab=0`
A fast train takes 3 hours less than a slow train for a journey of 600kms. If the speed of the slow train is 1 Okm/ hr less than the fast train, find the speed of the fast train.
If -1 and 3 are the roots of x2+px+q=0
then find the values of p and q
If p – 15 = 0 and 2x2 + px + 25 = 0; find the values of x.
Find the solution of the equation 2x2 – mx – 25n = 0; if m + 5 = 0 and n – 1 = 0.
In each of the following find the values of k of which the given value is a solution of the given equation:
x2 - x(a + b) + k = 0, x = a
Solve:
`2((2x - 1)/(x + 3)) - 3((x + 3)/(2x - 1)) = 5; x ≠ -3, (1)/(2)`
From the following equations, which one is the quadratic equation?
If x2 – 4x – 5 = 0, values of x correct to two decimal places are ______.