Advertisements
Advertisements
प्रश्न
Solve the following equation by factorization.
a2x2 + 2ax + 1 = 0, a ≠ 0
Advertisements
उत्तर
a2x2 + 2ax + 1 = 0
⇒ a2x2 + ax + ax + 1 = 0
⇒ ax(ax + 1) +1 (ax + 1) = 0
⇒ ax(ax + 1) (ax + 1) = 0
⇒ (ax + 1)2 = 0
∴ ax + 1 = 0 or ax + 1 = 0
⇒ `x = -(1)/a or x = -(1)/a`
Hence x = `-(1)/a "or" x = -(1)/a`.
APPEARS IN
संबंधित प्रश्न
Find the roots of the following quadratic equation by factorisation:
`sqrt2 x^2 +7x+ 5sqrt2 = 0`
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
The sum of two numbers is 48 and their product is 432. Find the numbers?
The sum of the squares of two numbers as 233 and one of the numbers as 3 less than twice the other number find the numbers.
Solve the following quadratic equations by factorization:
`5/(x - 2) - 3/(x + 6) = 4/x`
Solve the following quadratic equations by factorization:
\[3\left( \frac{7x + 1}{5x - 3} \right) - 4\left( \frac{5x - 3}{7x + 1} \right) = 11; x \neq \frac{3}{5}, - \frac{1}{7}\]
Sum of two natural numbers is 8 and the difference of their reciprocal is `2/15`. Find the numbers.
Find three successive even natural numbers, the sum of whose squares is 308.
The speed of a boat in still water is 11 km/ hr. It can go 12 km up-stream and return downstream to the original point in 2 hours 45 minutes. Find the speed of the stream
(x – 3) (x + 5) = 0 gives x equal to ______.
