Advertisements
Advertisements
प्रश्न
Solve the following equation: 2x2 - 3x - 9=0
Advertisements
उत्तर
2x2 - 3x - 9=0
`"x"^2 - 3/2"x" - 9/2 = 0`
`"x"^2 - 3x + 3/2 "x" - 9/2 =0`
`"x"("x" - 3) + 3/2 ("x" - 3) = 0`
`("x" - 3)("x" + 3/2) = 0`
`"(x - 3)" = 0 , ("x" + 3/2) = 0`
x = 3 , x = `-3/2`
APPEARS IN
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:
6x2 - x - 2 = 0
Two squares have sides x cm and (x + 4) cm. The sum of this areas is 656 cm2. Find the sides of the squares.
Solve the following quadratic equations by factorization: \[2 x^2 + ax - a^2 = 0\]
In the following determine the set of values of k for which the given quadratic equation has real roots: \[2 x^2 + x + k = 0\]
Solve the following equation : `"x"^2 - 4 sqrt 2 "x" + 6 = 0 `
Solve the following equation: `x^2 + (a + 1/a)x + 1 = 0`
There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path.
Solve equation using factorisation method:
(x + 3)2 – 4(x + 3) – 5 = 0
The side (in cm) of a triangle containing the right angle are 5x and 3x – 1. If the area of the triangle is 60 cm². Find the sides of the triangle.
