Advertisements
Advertisements
प्रश्न
Solve the equation 3x² – x – 7 = 0 and give your answer correct to two decimal places.
Advertisements
उत्तर
3x² – x – 7 = 0
a = 3, b = -1, c = -7
x = `(-b ± sqrt(b^2 - 4ac))/(2a)`
= `-((-1) ± sqrt((-1)^2 - 4.3. (-7)))/(2 xx 3)`
= `(1 ± sqrt(1 + 84))/(6)`
= `( 1 ± sqrt(85))/(6)`
= `(1 ± 9·216)/(6)`
x = `( 1 + 9.216)/(6) and (1 - 9.216)/(6)`
= `(10.216)/(6) and -(8.216)/(6)`
= 1·703 and -1·37.
संबंधित प्रश्न
Solve for x :
`2/(x+1)+3/(2(x-2))=23/(5x), x!=0,-1,2`
Solve the following quadratic equations by factorization:
`x^2+(a+1/a)x+1=0`
The sum of two numbers is 48 and their product is 432. Find the numbers?
Determine two consecutive multiples of 3, whose product is 270.
If the list price of a toy is reduced by Rs. 2, a person can buy 2 toys more for Rs. 360. Find the original price of the toy.
Solve the following quadratic equations by factorization: \[\frac{2}{x + 1} + \frac{3}{2(x - 2)} = \frac{23}{5x}; x \neq 0, - 1, 2\]
If 1 is a root of the quadratic equation \[3 x^2 + ax - 2 = 0\] and the quadratic equation \[a( x^2 + 6x) - b = 0\] has equal roots, find the value of b.
Solve the following equation : 5x2 - 11x + 2 = 0
Solve the following equation by factorization.
a2x2 + 2ax + 1 = 0, a ≠ 0
Find two consecutive natural numbers such that the sum of their squares is 61.
