Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation for x:
`4sqrt3x^2+5x-2sqrt3=0`
उत्तर १
`4sqrt3x^2+5x-2sqrt3=0`
`rArr4sqrt3x^2+8x-3x-2sqrt3=0`
`rArr4x(sqrt3x+2)-sqrt3(sqrt3x+2)=0`
`rArr(4x-sqrt3)(sqrt3x+2)=0`
`therefore x=sqrt3/4` or `x=-2/sqrt3`
उत्तर २
`4sqrt3x^2+5x-2sqrt3=0`
`rArr4sqrt3x^2+8x-3x-2sqrt3=0`
`rArr4x(sqrt3x+2)-sqrt3(sqrt3x+2)=0`
`rArr(4x-sqrt3)(sqrt3x+2)=0`
`therefore x=sqrt3/4` or `x=-2/sqrt3`
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation for x: `4x^2 + 4bx – (a^2 – b^2) = 0`
Find the roots of the following quadratic equations, if they exist, by the method of completing the square `4x^2 + 4sqrt3x + 3 = 0`
The length of the hypotenuse of a right-angled triangle exceeds the length of the base by 2 cm and exceeds twice the length of the altitude by 1 cm. Find the length of each side of the triangle.
Find the value of discriminant.
2y2 – 5y + 10 = 0
Determine the nature of roots of the following quadratic equation.
m2 + 2m + 9 = 0
α, β are roots of y2 – 2y –7 = 0 find,
α3 + β3
Find two consecutive odd positive integers, sum of whose squares is 970.
Sum of the area of two squares is 400 cm2. If the difference of their perimeters is 16 cm, find the sides of two squares.
The positive root of `sqrt(3"x"^2 + 6)` = 9 is:
Find the remainder when p(x) = 3x2 + 2x – 7 is divided by 2x + 1.
