Advertisements
Advertisements
Questions
Solve the following equation and give your answer up to two decimal places:
x2 − 5x − 10 = 0
Solve the equation x2 − 5x − 10 = 0 and determine the answer correct to two decimal places.
Advertisements
Solution
Given equation is x2 − 5x − 10 = 0
On comparing with ax2 + bx + c = 0
a = 1, b = −5, c = −10
∵ x = `(-b ± sqrt(b^2 - 4ac))/(2a)`
∴ x = `(5 ± sqrt(25 + 40))/(2)`
x = `(5 ± sqrt(65))/(2)`
= `(5 ± 8·06)/(2)`
x = `(5 + 8·06)/(2)`
= `(13·06)/(2)`
= 6·53
and x = `(5 - 8·06)/(2)`
= `(-3·06)/(2)`
= −1·53
x = 6·53, x = −1·53
APPEARS IN
RELATED QUESTIONS
Solve for x: `(x-3)/(x-4)+(x-5)/(x-6)=10/3; x!=4,6`
Solve the following quadratic equations by factorization:
x2 + 2ab = (2a + b)x
The sum of a number and its reciprocal is 17/4. Find the number.
A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/hr from its usual speed. Find the usual speed of the plane.
If x = 1 is a common roots of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0, then ab =
If \[\left( a^2 + b^2 \right) x^2 + 2\left( ab + bd \right)x + c^2 + d^2 = 0\] has no real roots, then
Find two natural numbers which differ by 3 and whose squares have the sum of 117.
Solve: x(x + 1) (x + 3) (x + 4) = 180.
The length of a rectangular garden is 12 m more than its breadth. The numerical value of its area is equal to 4 times the numerical value of its perimeter. Find the dimensions of the garden.
Find the roots of the following quadratic equation by the factorisation method:
`3x^2 + 5sqrt(5)x - 10 = 0`
