Advertisements
Advertisements
प्रश्न
`x^2+8x-2=0`
Advertisements
उत्तर
`x^2+8x-2=0`
⇒`x^2+8x=2`
⇒`x^2+2xx x xx4+4^2=2+4^2`
⇒`(x+4)^2=2+16=18`
⇒`x+4=+-sqrt18=+-3sqrt2`
⇒`x+4=3sqrt2 or x+4=-3sqrt2`
⇒`x=-4+3sqrt2 or x=-4-3sqrt2`
Hence, `(-4+3sqrt2) and (-4-3sqrt2)` are the roots of the given equation.
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.
Solve the following quadratic equations by factorization:
6x2 + 11x + 3 = 0
Solve the following quadratic equations by factorization:
`(x+3)/(x-2)-(1-x)/x=17/4`
The sum of two numbers is 48 and their product is 432. Find the numbers?
The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers.
Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers.
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.
Ashu is x years old while his mother Mrs Veena is x2 years old. Five years hence Mrs Veena will be three times old as Ashu. Find their present ages.
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 separately, find the time in which each pipe would fill the tank separately.
The sum of the squares to two consecutive positive odd numbers is 514. Find the numbers.
Find k if x = 3 is a root of equation kx2 – 10x + 3 = 0.
Solve the following equation: 2x2 - x - 6 = 0
Solve the equation using the factorisation method:
`(3x -2)/(2x -3) = (3x - 8)/(x + 4)`
In each of the following, determine whether the given values are solution of the given equation or not:
2x2 - x + 9 = x2 + 4x + 3; x = 2, x = 3
A rectangular garden 10 m by 16 m is to be surrounded by a concrete walk of uniform width. Given that the area of the walk is 120 square metres, assuming the width of the walk to be x, form an equation in x and solve it to find the value of x.
If the perimeter of a rectangular plot is 68 m and the length of its diagonal is 26 m, find its area.
Rs. 7500 is divided equally among a certain number of children. Had there been 20 less children, each would have receive Rs 100 more. Find the original number of children.
Two years ago, a man’s age was three times the square of his daughter’s age. Three years hence, his age will be four times his daughter’s age. Find their present ages.
Two squares have sides A cm and (x + 4) cm. The sum of their areas is 656 sq. cm.Express this as an algebraic equation and solve it to find the sides of the squares.
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.
