Advertisements
Advertisements
Question
Solve the following equation: 2x2 - x - 6 = 0
Advertisements
Solution
2x2 - x - 6 = 0
`"x"^2 - 1/2 "x" - 3 = 0`
`"x"^2 - 2"x" + 3/2"x" - 3 = 0 `
`"x"("x" - 2) + 3/2 ("x" - 2) = 0`
`("x" - 2)("x" + 3/2) = 0`
(x - 2) = 0 , `("x" + 3/2) = 0`
x = 2 , x = `-3/2`
APPEARS IN
RELATED QUESTIONS
Solve the following quadratic equations by factorization:
a(x2 + 1) - x(a2 + 1) = 0
Find the consecutive numbers whose squares have the sum 85.
Sum of two numbers is 16. The sum of their reciprocals is 1/3. Find the numbers.
The difference of squares of two number is 88. If the larger number is 5 less than twice the smaller number, then find the two numbers.
The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.
The sum of the squares two consecutive multiples of 7 is 1225. Find the multiples.
If an integer is added to its square the sum is 90. Find the integer with the help of a quadratic equation.
Car A travels x km for every litre of petrol, while car B travels (x + 5) km for every litre of petrol.
If car A use 4 litre of petrol more than car B in covering the 400 km, write down and equation in x and solve it to determine the number of litre of petrol used by car B for the journey.
Solve the following equation by factorisation :
2x2 + ax – a2= 0
In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m2 [see figure]. Find the length and breadth of the pond.
