Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
`2x^2 - 1/2x = 0`
Advertisements
उत्तर
`2x^2 - 1/2x = 0`
⇒ `x(2x - 1/2) = 0`
Since x = 0 or 2x – `1/2` = 0
Then x = 0 or x = `1/4`
APPEARS IN
संबंधित प्रश्न
A fast train takes one hour less than a slow train for a journey of 200 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speed of the two trains.
Find the values of k for which the quadratic equation
\[\left( 3k + 1 \right) x^2 + 2\left( k + 1 \right)x + 1 = 0\] has equal roots. Also, find the roots.
Write the set of value of k for which the quadratic equations has 2x2 + kx − 8 = 0 has real roots.
The value of c for which the equation ax2 + 2bx + c = 0 has equal roots is
Solve the following equation: `("x" + 3)/("x" + 2) = (3"x" - 7)/(2"x" - 3)`
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
The length of the sides forming a right angle in a triangle are 5x cm and (3x-1) cm. If the area of the triangle is 60cm2, find the hypotenuse.
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.
In each of the following, determine whether the given values are solution of the given equation or not:
`a^2x^2 - 3abx + 2b^2 = 0; x = a/b, x = b/a`.
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.
