Advertisements
Advertisements
प्रश्न
Solve the following : `("x" - 1/2)^2 = 4`
उत्तर
`("x" - 1/2)^2 = 4`
`"x"^2 - "x" + 1/4 = 4`
`"x"^2 - "x" - 15/4 = 0`
`"x"^2 + 3/2 "x" - 5/2 "x" - 15/4 = 0`
`"x" ("x" + 3/2) - 5/2 ("x" + 3/2) = 0`
`("x" + 3/2)("x" - 5/2) = 0`
x = `-3/2` , x = `5/2`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`(2x)/(x-4)+(2x-5)/(x-3)=25/3`
Solve the following quadratic equations by factorization:
`x^2+(a+1/a)x+1=0`
Two number differ by 4 and their product is 192. Find the numbers?
A passenger train takes one hour less for a journey of 150 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
In the following determine the set of values of k for which the given quadratic equation has real roots: \[2 x^2 + x + k = 0\]
Some students planned a picnic. The budget for the food was Rs. 480. As eight of them failed to join the party, the cost of the food for each member increased by Rs. 10. Find how many students went for the picnic.
In each of the following, determine whether the given values are solution of the given equation or not:
`a^2x^2 - 3abx + 2b^2 = 0; x = a/b, x = b/a`.
Solve the following equation by factorization.
a2x2 + 2ax + 1 = 0, a ≠ 0
In a P.T. display, 480 students are arranged in rows and columns. If there are 4 more students in each row than the number of rows, find the number of students in each row.
A farmer wishes to grow a 100 m2 rectangular vegetable garden. Since he has with him only 30 m barbed wire, he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimensions of his garden.