Advertisements
Advertisements
Question
Solve equation using factorisation method:
(2x – 3)2 = 49
Advertisements
Solution
(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
RELATED QUESTIONS
Solve the following quadratic equation for x : 4x2 − 4a2x + (a4 − b4) =0.
The numerator of a fraction is 3 less than its denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and original fraction is `29/20`. Find the original fraction.
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
The area of a right angled triangle is 165 m2. Determine its base and altitude if the latter exceeds the former by 7 m.
Solve the following quadratic equations by factorization:
`4(2x – 3)^2 – (2x – 3) – 14 = 0`
Solve the following quadratic equation by factorisation.
x2 + x – 20 = 0
Solve the following equation : `"ax"^2 + (4"a"^2 - 3"b")"x" - 12"ab" = 0`
A two digit number contains the bigger at ten’s place. The product of the digits is 27 and the difference between two digits is 6. Find the number.
Two pipes running together can fill a tank in `11(1)/(9)` minutes. If one pipe takes 5 minutes more than the other to fill the tank, find the time in which each pipe would/fill the tank.
For equation `1/x + 1/(x - 5) = 3/10`; one value of x is ______.
