Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
`6/x = 1 + x`
Advertisements
उत्तर
`6/x = 1 + x`
⇒ 6 = x + x2
⇒ x2 + x – 6 = 0
⇒ x2 + 3x – 2x – 6 = 0
⇒ x(x + 3) –2(x + 3) = 0
⇒ (x + 3)(x – 2) = 0
Since x + 3 = 0 or x – 2 = 0
Then x = –3 or x = 2
APPEARS IN
संबंधित प्रश्न
Find the roots of the following quadratic equation by factorisation:
100x2 – 20x + 1 = 0
Solve the following quadratic equations by factorization:
`1/x-1/(x-2)=3` , x ≠ 0, 2
A passenger train takes one hour less for a journey of 150 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
Solve the following quadratic equations by factorization:
`(x + 3)^2 – 4(x + 3) – 5 = 0 `
Solve the following quadratic equations by factorization:
\[9x^2 - 6 b^2 x - \left(a^4 - b^4 \right) = 0\]
Find the value of p for which the quadratic equation
\[\left( p + 1 \right) x^2 - 6(p + 1)x + 3(p + 9) = 0, p \neq - 1\] has equal roots. Hence, find the roots of the equation.
Disclaimer: There is a misprinting in the given question. In the question 'q' is printed instead of 9.
Solve the following quadratic equation using formula method only
6x2 + 7x - 10 = 0
The area of a right-angled triangle is 600 cm2. If the base of the triangle exceeds the altitude by 10 cm, find the dimensions of the triangle.
Solve the following equation by factorization
6p2+ 11p – 10 = 0
The difference between the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
