Advertisements
Advertisements
Question
Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`
Solution
`"x"^2 - 5"x" - 36 = 0`
`"x"^2 - 9"x" + 4"x" - 36 = 0`
`"x"("x" - 9) + 4("x" - 9) = 0`....{By Factorizing 36}
∴ `("x" - 9)("x" + 4) = 0`
x - 9 = 0 or x + 4 = 0
x = 9 or x = -4
APPEARS IN
RELATED QUESTIONS
Find two consecutive positive integers, sum of whose squares is 365.
Solve the following quadratic equations by factorization:
`x^2-(sqrt3+1)x+sqrt3=0`
The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers.
Solve x2 – 4x – 12 =0; when x ∈ I
`3x^2-x-2=0`
Find the tow consecutive positive odd integer whose product s 483.
The sum of two natural numbers is 15 and the sum of their reciprocals is `3/10`. Find the numbers.
One of the roots of equation 5m2 + 2m + k = 0 is `(-7)/5` Complete the following activity to find the value of 'k'.
Solve the following quadratic equation by factorisation.
2y2 + 27y + 13 = 0
Find the roots of the quadratic equation \[\sqrt{2} x^2 + 7x + 5\sqrt{2} = 0\].
Find the values of k for which the roots are real and equal in each of the following equation:
\[4 x^2 - 2\left( k + 1 \right)x + \left( k + 1 \right) = 0\]
If the equations \[\left( a^2 + b^2 \right) x^2 - 2\left( ac + bd \right)x + c^2 + d^2 = 0\] has equal roots, then
Three years ago, a man was 5 times the age of his son. Four years hence, he will be thrice his son's age. Find the present ages of the man and his son.
The speed of a boat in still water is 15km/ hr. It can go 30km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.
Solve equation using factorisation method:
`2x^2 - 1/2x = 0`
Find two consecutive positive even integers whose squares have the sum 340.
Solve: x(x + 1) (x + 3) (x + 4) = 180.
In each of the following determine whether the given values are solutions of the equation or not.
x2 + x + 1 = 0; x = 1, x = -1.
If x = p is a solution of the equation x(2x + 5) = 3, then find the value of p.
Solve the following equation by factorisation :
x2 + 6x – 16 = 0
