Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
4(2x – 3)2 – (2x – 3) – 14 = 0
Advertisements
उत्तर
4(2x – 3)2 – (2x – 3) – 14 = 0
Let 2x – 3 = y
Then 4y2 – y – 14 = 0
⇒ 4y2 – 8y + 7y – 14 = 0
⇒ 4y(y – 2) + 7(y – 2) = 0
⇒ (y – 2)(4y + 7) = 0
If y – 2 = 0 or 4y + 7 = 0
⇒ y = 2 or y = `(-7)/4`
⇒ 2x – 3 = 2 or 2x – 3 = `(-7)/4`
⇒ 2x = 5 or 2x = `5/4`
⇒ x = `5/2` or x = `5/8`
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`4sqrt3x^2+5x-2sqrt3=0`
A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/hr from its usual speed. Find the usual speed of the plane.
The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is 5 cm. Find the lengths of these sides.
Solve the following quadratic equations by factorization:
\[16x - \frac{10}{x} = 27\]
Write the set of value of k for which the quadratic equations has 2x2 + kx − 8 = 0 has real roots.
If the equation ax2 + 2x + a = 0 has two distinct roots, if
Three years ago, a man was 5 times the age of his son. Four years hence, he will be thrice his son's age. Find the present ages of the man and his son.
In each of the following, determine whether the given values are solution of the given equation or not:
`x = 1/x = (13)/(6), x = (5)/(6), x = (4)/(3)`
Find two consecutive odd integers such that the sum of their squares is 394.
The product of two successive integral multiples of 5 is 300. Then the numbers are:
