Advertisements
Advertisements
प्रश्न
Which of the following are quadratic equation in x?
`(x+2)^3=x^3-8`
उत्तर
`(x+2)^3=x^3-8`
`⇒ x^3+6x^2+12x+8=x^3-8`
`⇒6x^2+12x+16=0`
This is of the form `ax^2+bx+c=0`
Hence, the given equation is a quadratic equation.
APPEARS IN
संबंधित प्रश्न
Find the value of discriminant (Δ) for the quadratic equation: `x^2+7x+6=0`
Rs. 7500 were divided equally among a certain number of children. Had there been 20 less children, each would have received Rs. 100 more. Find the original number of children.
The product of two consecutive positive integers is 306. Form the quadratic equation to find the integers, if x denotes the smaller integer.
Solve the following equation using the formula:
x2 – 10x + 21 = 0
Solve:
2x4 – 5x2 + 3 = 0
Solve the following equation using the formula:
`(2x)/(x - 4) + (2x - 5)/(x - 3) = 8 1/3`
Solve:
`x/a - (a + b)/x = (b(a + b))/(ax)`
Solve, using formula:
x2 + x – (a + 2)(a + 1) = 0
Solve for x using the quadratic formula. Write your answer correct to two significant figures:
(x – 1)2 – 3x + 4 = 0
Write the given quadratic equation in standard form and also write the values of a, b and c
4y2 – 3y = – 7