Advertisements
Advertisements
प्रश्न
`6x^2+11x+3=0`
उत्तर
Given
`6x^2+11x+3=0`
`⇒6x^2+9x+2x+3=0`
`⇒3x(2x+3)+1(2x+3)=0`
`⇒(3x+1)(2x+3)=0`
`⇒3x+1=0 or 2x+3=0`
`⇒x=-1/3 or x=-3/2`
Hence, `-1/3 and -3/2 `are the roots of the equation `6x^2+11x+3=0`
APPEARS IN
संबंधित प्रश्न
Represent the following situation in the form of a quadratic equation:
The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.
Solve the equation 4x2 – 5x – 3 = 0 and give your answer correct to two decimal places
Solve the equation `9x^2 + (3x)/4 + 2 = 0`, if possible, for real values of x.
Solve the following equation for x and give, in the following case, your answer correct to 3 decimal places:
2x2 + 11x + 4 = 0
`a/(x-b)+b/(x-a)=2,x≠b,a`
The speed of the boat in still water is 11 km/ hr. It can go 21 km upstream and 12 km downstream in 3 hours. Find the speed of the stream.
Find which of the following equations are quadratic:
(x – 4)(3x + 1) = (3x – 1)(x + 2)
Solve the following equation by using formula :
4x2 – 4ax + (a2 – b2) = 0
Choose the correct answer from the given four options :
Which of the following is not a quadratic equation?
Find the values of a and b from the quadratic equation 2x2 – 5x + 7 = 0.
