Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization
3(y2 – 6) = y(y + 7) – 3
Advertisements
उत्तर
3(y2 – 6) = y(y + 7) – 3
⇒ 3(y2 - 6) = y2 + 7y - 3
⇒ 3y2 - 18 = y2 + 7y - 3
⇒ 3y2 - y2 - 7y - 18 + 3 = 0
⇒ 2y2 - 7y - 15 = 0
⇒ 2y2 - 10y + 3y - 15 = 0
2y(y - 5) + 3(y - 5) = 0
⇒ (y - 5) (2y + 3) = 0
Either y - 5 = 0,
then y = 5
or
2y + 3 = 0,
then 2y = -3
⇒ y = `(-3)/(2)`
Hence y = `(-3)/(2)`, 5.
APPEARS IN
संबंधित प्रश्न
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Solve the following quadratic equations by factorization:
3x2 = -11x - 10
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
Solve the given quadratic equation for x : 9x2 – 9(a + b)x + (2a2 + 5ab + 2b2) = 0 ?
Solve the following quadratic equations by factorization:\[\frac{1}{x - 3} + \frac{2}{x - 2} = \frac{8}{x}; x \neq 0, 2, 3\]
A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit are reversed. Find the number.
The perimeter of the right angled triangle is 60cm. Its hypotenuse is 25cm. Find the area of the triangle.
Solve the following quadratic equation by factorisation:
(x - 4) (x + 2) = 0
Solve the following equation by factorization
3x2 – 5x – 12 = 0
Solve the following equation by factorization
x2 – (p + q)x + pq = 0
