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
The sum of two numbers is 48 and their product is 432. Find the numbers?
Solve the following quadratic equation by factorization:
`sqrt(6)x^2 - 4x - 2sqrt(6) = 0`
`x^2+8x-2=0`
Find the values of k for which the roots are real and equal in the following equation:
\[kx\left( x - 2\sqrt{5} \right) + 10 = 0\]
Show that x = –2 is a solution of 3x2 + 13x + 14 = 0.
There is a square field whose side is 44m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and graving the path at Rs 2. 75 and Rs. 1.5 per square metre, respectively, is Rs 4,904. Find the width of the gravel path.
A boat can cover 10 km up the stream and 5 km down the stream in 6 hours. If the speed of the stream is 1.5 km/hr. find the speed of the boat in still water.
The hypotenuse of a right-angled triangle is 1 m less than twice the shortest side. If the third side is 1 m more than the shortest side, find the sides of the triangle.
By selling an article for Rs. 21, a trader loses as much per cent as the cost price of the article. Find the cost price.
Find the roots of the following quadratic equation by the factorisation method:
`3sqrt(2)x^2 - 5x - sqrt(2) = 0`
