Advertisements
Advertisements
प्रश्न
`9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0`
उत्तर
We write, `-9(a+b)x=-3(2a+b)x-3(a+2b)x` as
`9x^2xx(2a^2+5ab+2b^2)=9(2a^2+5ab+2b^2)x^2[-3(2a+b)x]xx[-3(a+2b)x]`
∴`9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0`
⇒`9x^2-3(2a+b)x-3(a+2b)x+(2a+b)(a+2b)=0`
⇒`3x[3x-(2a+b)]-(a+2b)[3x-(2a+b)]=0`
⇒`[3x-(2a+b)][3x-a(a+2b)]=0`
⇒ `3x-(2a+b)=0 or 3x-(a+2b)=0`
⇒ `x=(2a+b)/3` or `x=(a+2b)/3`
Hence, `(2a+b)/3` and `(a+2b)/3` are the roots of the given equation.
APPEARS IN
संबंधित प्रश्न
Q - 34
Solve `x^2 - 11/4 x + 15/8 = 0`
Which of the following are quadratic equation in x?
`1/3x^2+1/5x-2=0`
`100x^2-20x+1=0`
The roots of the equation x2 − 3x − m (m + 3) = 0, where m is a constant, are
The length of a hall is 5 m more than the breadth. If the area of the floor of the hall is 84m2, find the length and breadth of the hall.
A scholarship account of Rs 75,000 was distributed equally among a certain number of students. Had there been 10 students more, each would have got Rs 250 less. Find the original number of persons.
Solve the following quadratic equation by using formula method :
7y2 - 5y - 2 = 0
Find whether the value x = `(1)/(a^2)` and x = `(1)/(b^2)` are the solution of the equation:
a2b2x2 - (a2 + b2) x + 1 = 0, a ≠ 0, b ≠ 0.
Choose the correct answer from the given four options :
The roots of the equation x2 – 3x – 10 = 0 are
