Advertisements
Advertisements
Question
Solve of the following equations, giving answer up to two decimal places.
3x2 – x – 7 =0
Solution
3x2 – x – 7 =0
Here a = 3, b = −1 and c = −7
`x = (-b +- sqrt((-1)^2 - 4(3)(-7)))/(2(3))`
`=> x = (1 +- sqrt85)/6 = (1 +- 9.22)/6`
`=> x = 10.22/6 and (-8.22)/6 = 1.70 and -1.37`
APPEARS IN
RELATED QUESTIONS
Solve for x :
`3/(x+1)+4/(x-1)=29/(4x-1);x!=1,-1,1/4`
Solve the following quadratic equations by factorization:
`(x-1)/(2x+1)+(2x+1)/(x-1)=5/2` , x ≠ -1/2, 1
Sum of two numbers is 16. The sum of their reciprocals is 1/3. Find the numbers.
A two-digit number is such that the products of its digits is 8. When 18 is subtracted from the number, the digits interchange their places. Find the number?
The length of a hall is 5 m more than its breadth. If the area of the floor of the hall is 84 m2, what are the length and breadth of the hall?
Find the values of k for which the roots are real and equal in each of the following equation:\[px(x - 3) + 9 = 0\]
In each of the following determine whether the given values are solutions of the equation or not.
9x2 - 3x - 2 = 0; x = `-(1)/(3), x = (2)/(3)`
Find two consecutive natural numbers such that the sum of their squares is 61.
Find two consecutive even natural numbers such that the sum of their squares is 340.
A two digit number contains the bigger at ten’s place. The product of the digits is 27 and the difference between two digits is 6. Find the number.
