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
Solve the following equation and give your answer correct to 3 significant figures:
5x2 – 3x – 4 = 0
Find the value of ‘p’, if the following quadratic equation have equal roots:
x2 + (p – 3)x + p = 0
Solve (x2 – 3x)2 – 16(x2 – 3x) – 36 =0
Solve `sqrt(x/(x- 3)) + sqrt((x - 3)/x) = 5/2`
Solve the following equation using the formula:
x2 + 6x – 10 = 0
`4sqrt6x^2-13x-2sqrt6=0`
`4x^2-2(a^2+b^2)x+a^2b^2=0`
Solve the following quadratic equation:
`(1)/(a + b + x) = (1)/a + (1)/b + (1)/x, a + b ≠ 0`
Solve the following equation by using formula :
2x2 – 3x – 1 = 0
Solve for x using the quadratic formula. Write your answer correct to two significant figures:
(x – 1)2 – 3x + 4 = 0
