Advertisements
Advertisements
प्रश्न
Solve the following equation using the formula:
x2 – 6x = 27
उत्तर
x2 – 6x = 27
`=>` x2 – 6x – 27 = 0
Here a = 1, b = – 6 and c = – 27
Then `x = (-b +- sqrt(b^2 - 4ac))/(2a)`
= `(-(-6) +- sqrt((-6)^2 - 4(1)(-27)))/(2(1))`
= `(6 +- 12)/2`
= `(6 +12)/2` and `(6 - 12)/2`
= 9 and –3
APPEARS IN
संबंधित प्रश्न
Check whether the following is the quadratic equation:
(x - 2)(x + 1) = (x - 1)(x + 3)
If the equation (1 + m2) x2 + 2mcx + c2 – a2 = 0 has equal roots then show that c2 = a2 (1 + m2)
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation fo find x.
Solve `6/x = 1 + x`
Solve `5/(x - 2) - 3/(x + 6) = 4/x`
Solve `x/a - (a + b)/x = (b(a +b))/(ax)`
Without solving, comment upon the nature of roots of the following equation:
25x2 − 10x + 1 = 0
Without solving comment upon the nature of roots of each of the following equations:
`"x"^2 – "ax" – "b"^2 = 0`
Solve for x using the quadratic formula. Write your answer correct to two significant figures:
(x – 1)2 – 3x + 4 = 0
If x2 – 8x – 9 = 0; values of x correct to one significant figure are ______.