Advertisements
Advertisements
प्रश्न
From the following equations, which one is the quadratic equation?
पर्याय
`5/x - 3 = x^2`
x(x + 5) = 4
n – 1 = 2n
`1/x^2(x + 2) = x`
उत्तर
x(x + 5) = 4
Explanation:
Option: [A]
`5/x - 3 = x^2`
`(5 - 3x)/x = x^2`
5 – 3x = x3
x3 + 3x – 5 = 0
⇒ This is not a quadratic equation.
Option: [B]
x(x + 5) = 4
x2 + 5x = 4
x2 + 5x − 4 = 0
⇒ This is a quadratic equation.
Option: [C]
n − 1 = 2n
This is not a quadratic equation.
Option: [D]
`1/x^2 (x + 2) = x`
x + 2 = x3
x3 – (x + 2) = 0
x3 – x – 2 = 0
⇒ This is not a quadratic equation.
APPEARS IN
संबंधित प्रश्न
Verify whether 1 is the root of the quadratic equation : `x^2+3x-4=0`
Check whether the following is the quadratic equation:
(2x - 1)(x - 3) = (x + 5)(x - 1)
If the equation (1 + m2) x2 + 2mcx + c2 – a2 = 0 has equal roots then show that c2 = a2 (1 + m2)
Solve the quadratic equation x2 – 3(x + 3) = 0; Give your answer correct to two significant figures.
Solve : x(x – 5) = 24
Solve the following equation for x and give, in the following case, your answer correct to one decimal place:
5x2 + 10x – 3 = 0
Solve the following equation using the formula:
3x2 + 2x – 1 = 0
Solve the following equation using the formula:
`(2x + 3)/(x + 3) = (x + 4)/(x + 2)`
Solve the following equation using the formula:
`(x - 1)/(x - 2) + (x - 3)/(x - 4) = 3 1/3`
Without solving comment upon the nature of roots of each of the following equation:
2x2 + 8x + 9 = 0
Which of the following are quadratic equation in x?
`1/3x^2+1/5x-2=0`
Which of the following are quadratic equation in x?
`(x+2)^3=x^3-8`
Write the following equation in the form ax2 + bx + c = 0, then write the values of a, b, c for the equation.
2y = 10 – y2
A piece of cloth cost Rs 5000. If the cost price of the cloth was Rs 5 less per meter, SOm more of the cloth would have been purchased. Find the cost price per meter of cloth and length of the cloth purchased.
Find which of the following equations are quadratic:
5x2 – 8x = –3(7 – 2x)
Find the value of k for which the equation 3x2 – 6x + k = 0 has distinct and real roots.
Solve the following equation by using formula :
`x(3x + 1/2)` = 6
Which of the following is not a quadratic equation?
Which of the following is not a quadratic equation?
