Advertisements
Advertisements
Question
Solve the following equation: 4x2 - 13x - 12 = 0
Advertisements
Solution
4x2 - 13x - 12 = 0
`"x"^2 - 13/4 "x" - 3 = 0`
`"x"^2 - 4"x" + 3/4"x" -3 = 0`
`"x"("x" - 4) + 3/4("x" - 4) = 0`
`("x" - 4)("x" + 3/4) = 0`
(x - 4) = 0 , `("x" + 3/4) = 0`
x = 4 , x = `-3/4`
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
`x^2-4sqrt2x+6=0`
A dealer sells an article for Rs. 24 and gains as much percent as the cost price of the article. Find the cost price of the article.
In a class test, the sum of the marks obtained by P in Mathematics and science is 28. Had he got 3 marks more in mathematics and 4 marks less in Science. The product of his marks would have been 180. Find his marks in two subjects.
Solve the following quadratic equation by factorisation.
2m (m − 24) = 50
Solve the following quadratic equation by factorisation.
25m2 = 9
Find the values of p for which the quadratic equation \[\left( 2p + 1 \right) x^2 - \left( 7p + 2 \right)x + \left( 7p - 3 \right) = 0\] has equal roots. Also, find these roots.
Find the value of p for which the quadratic equation
\[\left( p + 1 \right) x^2 - 6(p + 1)x + 3(p + 9) = 0, p \neq - 1\] has equal roots. Hence, find the roots of the equation.
Disclaimer: There is a misprinting in the given question. In the question 'q' is printed instead of 9.
The length of verandah is 3m more than its breadth. The numerical value of its area is equal to the numerical value of its perimeter.
(i) Taking x, breadth of the verandah write an equation in ‘x’ that represents the above statement.
(ii) Solve the equation obtained in above and hence find the dimension of verandah.
Solve the following equation by factorization
`sqrt(3)x^2 + 10x + 7sqrt(3)` = 0
Solve the following equation by factorization
`(1)/(2a + b + 2x) = (1)/(2a) + (1)/b + (1)/(2x)`
