Using factorisation, solve the following quadratic equation.
One year ago, a man was 8 times as old as his son. Now, his age is equal to the square of his
The hypotenuse of right angled triangle is 6 m more than twice the shortest side.
Find the value of k for which the given equation has equal roots.
A two digit number is such that the product of the digits is 12. When 36 is added to the
A dealer sells a toy for 24 rupee and gains as much per cent as the cost price of the toy.
A rectangular park is to be designed whose breadth is 3 m less than its length.
"John and Janvi together have 45 marbles. Both of them lost 5 marbles each and the
The speed of a boat in still water is 15 km/h. It can go 30 km upstream and
The difference of squares of two numbers is 180. The square of the smaller number
Sum of the areas of two squares is 468m square. If the difference of the parameter
Is the following situation possible? If so, then determine their present ages
Find the nature of the roots of the following quadratic equations. If the real roots
Using the quadratic formula, solve the quadratic equation.
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more
Check whether the following are quadratic equation
Find the nature of roots of the following quadratic equations. If the real roots exist,
Find the roots of the quadratic equation given in
If x = 2 and x = 3 are roots of the equation 3x - 2ax +2b=0
Find the roots of the quadratic equation x-8x-20 =0
The sum of the squares of three consecutive natural numbers is 110. Determine the numbers.
A passenger train takes 3 h less for a journey of 360 km, if its speed
The attitude of a right angled triangle is 7 cm less than its base. If the hypotenuse
In each of the following equations, determine the value of k
Solve the following quadratic equations
Find two consecutive positive integer, Sum of whose squares is 365
Solve 12x +5x - 3=0 by quadratic formula.
Find the discriminant of the quadratic equation x - 4x +1=0
A cottage industry produces a certain number of pottery articles in a day
Find the values of k for which the equation 9x +3kx +4 = 0 has real roots.
Represent the following situations in the form of quadratic equations
Find the roots of of the following quadratic equations by factorisation
Find the roots of the following quadratic equations, if they exist, by
The sum of the raciprocals of Rehmans ages, (in years) 3 yr
Find two numbers whose sum is 27 and product is 182
Determine whether x=-1/2,x=1/3 are the solutions of the given
An express train takes 1 h less than a passenger train to travel 132 km
Two water taps together can fill a tank in
Find the values of k for each of the following quadratic equations, so that they
Is it possible to design a rectangular park of perimeter 80 m and area 400 m square
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