Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
2x2 – 8x – 24 = 0 when x∈I
Advertisements
उत्तर
2x2 – 8x – 24 = 0
⇒ x2 – 4x – 12 = 0 ...(Dividing by 2)
⇒ x2 – 6x + 2x – 12 = 0
⇒ x (x – 6) + 2 (x – 6) = 0
⇒ (x – 6) (x + 2) = 0
Either x – 6 = 0, then, x = 6
or x + 2 = 0, then x = – 2
Hence x = 6, – 2.
APPEARS IN
संबंधित प्रश्न
Divide 29 into two parts so that the sum of the squares of the parts is 425.
The distance between Akola and Bhusawal is 168 km. An express train takes 1 hour less than a passenger train to cover the distance. Find the average speed of each train if the average speed of the express train is more by 14 km/hr than the speed of the passenger train.
Solve the following quadratic equations by factorization:
\[\frac{16}{x} - 1 = \frac{15}{x + 1}; x \neq 0, - 1\]
Find the roots of the quadratic equation \[\sqrt{2}x^2 + 7x + 5\sqrt{2} = 0\].
Solve the following equation: `"a"/("x" - "a") + "b"/("x" - "b") = (2"c")/("x" - "c")`
The hypotenuse of a grassy land in the shape of a right triangle is 1 m more than twice the shortest side. If the third side is 7m more than the shortest side, find the sides of the grassy land.
A two digit number is such that the product of the digits is 12. When 36 is added to this number the digits interchange their places. Determine the number.
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.
In each of the following determine whether the given values are solutions of the equation or not
2x2 - 6x + 3 = 0; x = `(1)/(2)`
A wire ; 112 cm long is bent to form a right angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.
