Advertisements
Advertisements
प्रश्न
Write the sum of real roots of the equation x2 + |x| − 6 = 0.
उत्तर
The given quadric equation is x2 + |x| − 6 = 0.
Here, a =1,b = ±1 and, c = -6
As we know that `D = b^2 - 4ac`
Putting the value of a =1,b = ±1 and, c = -6
` = (±1)^2 - 4 xx 1 xx -6`
= 1 + 24
= 25
Since, D ≥ 0
Therefore, root of the given equation arereal and distinct.
Thus, sum of the roots be = 0.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by factorization method : `x^2-5x+6=0`
John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
Determine two consecutive multiples of 3, whose product is 270.
`7x^2+3x-4=0`
The sum of a number and its reciprocal is `2 9/40`. Find the number.
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.
Solve the following equation by factorization
`x/(x + 1) + (x + 1)/x = (34)/(15)`
Solve the following equation by factorisation :
3x2 + 11x + 10 = 0
Solve the following equation by factorisation :
`sqrt(3x^2 - 2x - 1) = 2x - 2`
A man spent Rs. 2800 on buying a number of plants priced at Rs x each. Because of the number involved, the supplier reduced the price of each plant by Rupee 1.The man finally paid Rs. 2730 and received 10 more plants. Find x.
