Advertisements
Advertisements
Question
Solve the following equation: 3x2 + 25 x + 42 = 0
Solution
3x2 + 25 x + 42 = 0
`"x"^2 + 25/3 "x" + 14 = 0`
`"x"^2 + 6"x" + 7/3 "x" + 14 = 0`
`"x"("x" + 6) + 7/3 ("x" + 6) = 0`
`("x" + 6)("x" + 7/3) = 0`
(x + 6) = 0 , `("x" + 7/3) = 0`
x = -6 , x = `-7/3`
APPEARS IN
RELATED QUESTIONS
`x^2+8x-2=0`
The sum of the squares two consecutive multiples of 7 is 1225. Find the multiples.
Solve the following quadratic equation for x:
`4sqrt3x^3+5x-2sqrt3=0`
Solve the following quadratic equations by factorization: \[\frac{x + 1}{x - 1} + \frac{x - 2}{x + 2} = 4 - \frac{2x + 3}{x - 2}; x \neq 1, - 2, 2\]
Show that x = −3 is a solution of x2 + 6x + 9 = 0.
Solve equation using factorisation method:
(x + 3)2 – 4(x + 3) – 5 = 0
Solve the following equation by factorization
`(x + 2)/(x + 3) = (2x - 3)/(3x - 7)`
Solve the following equation by factorization
`(1)/(x - 3) - (1)/(x + 5) = (1)/(6)`
In an auditorium, the number of rows are equal to the number of seats in each row.If the number of rows is doubled and number of seats in each row is reduced by 5, then the total number of seats is increased by 375. How many rows were there?
Is 0.2 a root of the equation x2 – 0.4 = 0? Justify