Advertisements
Advertisements
प्रश्न
Check whether the following is the quadratic equation:
(x - 2)(x + 1) = (x - 1)(x + 3)
उत्तर
(x - 2)(x + 1) = (x - 1)(x + 3)
⇒ x2 - x - 2 = x2 + 2x - 3
⇒ x2 - x - 2 - x2 - 2x + 3 = 0
⇒ -3x - 1 = 0
Since -3x + 1 is a linear polynomial.
∴ (x - 2)(x + 1) = (x - 1)(x + 3) is not a quadratic equation.
APPEARS IN
संबंधित प्रश्न
Find the values of a, b, c for the quadratic equation 2x2 = x + 3 by comparing with standard form ax2 + bx + c = 0.
If the equation (1 + m2) x2 + 2mcx + c2 – a2 = 0 has equal roots then show that c2 = a2 (1 + m2)
Check whether the following is quadratic equation or not.
`x^2+1/x^2=5`
The equation 3x2 – 12x + (n – 5) = 0 has equal roots. Find the value of n.
Solve `x + 1/x = 2.5`
Use the substitution y = 2x + 3 to solve for x, if 4(2x + 3)2 – (2x + 3) – 14 = 0.
Solve `((2x - 3)/(x -1)) - 4((x - 1)/(2x - 3)) = 3`
Solve `((3x + 1)/(x + 1)) + ((x + 1)/(3x + 1)) = 5/2`
Solve for x using the quadratic formula. Write your answer correct to two significant figures.
(x – 1)2 – 3x + 4 = 0
Without solving, comment upon the nature of roots of the following equation:
6x2 – 13x + 4 = 0
Which of the following are quadratic equation in x?
`(x+2)^3=x^3-8`
` x^2+6x-(a^2+2a-8)=0`
`(x-4)/(x-5)+(x-6)/(x-7)=31/3,x≠5,7`
Solve for x the quadratic equation x2 - 4x - 8 = 0.
Give your answer correct to three significant figures.
A takes 10days less than B to Finish a piece of work , If both A and B work together , they can finish the work in 12 days. Find the time taken by B to finish the work.
Solve : x4 - 10x2 +9 =0
Solve the following equation by using formula:
2x2 – 6x + 3 = 0
Solve the following equation by using formula:
`x - (1)/x = 3, x ≠ 0`
Solve the following equation by using quadratic equations for x and give your 5x(x + 2) = 3
The quadratic equation has degree:
