Advertisements
Advertisements
प्रश्न
Solve equation using factorisation method:
(2x – 3)2 = 49
Advertisements
उत्तर
(2x – 3)2 = 49
Taking square root on both sides
2x – 3 = ± 7
When 2x – 3 = 7
⇒ 2x = 10
⇒ x = 5
And when 2x – 3 = –7
⇒ 2x = – 4
⇒ x = – 2
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.
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
A passenger train takes 3 hours less for a journey of 360 km, if its speed is increased by 10 km/hr from its usual speed. What is the usual speed?
Solve the following quadratic equation by factorisation.
2m (m − 24) = 50
Write the set of values of k for which the quadratic equation has 2x2 + kx – 8 = 0 has real roots.
Show that x = –2 is a solution of 3x2 + 13x + 14 = 0.
A two digit number is such that its product of its digit is 18. When 63 is subtracted from the number, the digits interchange their places. Find the number.
Solve equation using factorisation method:
`x + 1/x = 2.5`
Solve the following equation by factorization
`(1)/(x - 3) - (1)/(x + 5) = (1)/(6)`
Two natural numbers are in the ratio 3 : 4. Find the numbers if the difference between their squares is 175.
