Advertisements
Advertisements
Question
Solve the following equation by using formula:
`x - (1)/x = 3, x ≠ 0`
Solution
`x - (1)/x = 3`
x2 – 1 = 3x
⇒ x2 – 3x – 1 = 0
Here a = 1, b = -3, c = -1
∴ b2 - 4ac
= (-3)2 - 4 × 1 × (-1)
= 9 + 4
= 13
x = `(-b ± sqrt(b^2 - 4ac))/(2a)`
= `(-(-3) ± sqrt(13))/(2 xx 1)`
= `(3 ± sqrt(13))/(2)`
∴ x = `(3 + sqrt(13))/(2) and (3 - sqrt(13))/(2)`.
APPEARS IN
RELATED QUESTIONS
Find the value of a, b, c in the following quadratic equation : 2x2 ‒ x ‒ 3 = 0
Without solving the following quadratic equation, find the value of ‘p' for which the given equation has real and equal roots:
x2 + (p – 3)x + p = 0.
Solve the following equation and give your answer correct to 3 significant figures:
5x2 – 3x – 4 = 0
Solve the following equations for x and give, in each case, your answer correct to two decimal places :
`x^2 - 16x + 6 = 0`
Find the value of x, if a + 1 = 0 and x2 + ax – 6 = 0
Determine whether x = − 1 is a root of the equation `x^2 − 3x + 2 = 0 `or not.
`2x^2-x+1/8=0`
A takes 6 days less than the time taken by B to finish a piece of work. If both A and B work together they can finish in 4 days. Find the time taken by B to finish the work.
Solve the equation 5x2 – 3x – 4 = 0 and give your answer correct to 3 significant figures:
If x2 – 2x – 3 = 0; values of x correct to two significant figures are ______.
