sijazmin sijazmin

26-03-2018
Mathematics

contestada

The sum of a number and 24 times its reciprocal is 11. Find the numbers

The sum of a number and 24 times its reciprocal is 11 Find the numbers class=

Respuesta :

mkryukova19 mkryukova19

26-03-2018

x+24*(1/x)=11
x+24/x=11
x²+24=11x
x²-11x+24=0
(x+3)(x-8)=0
x=-3, x=8
checking : 8+24*(1/8)=11, 8+3=11 correct
-3+24*(1/-3)=-3-8=-11 incorrect
number is 8, reciprocal is 1/8

Answer Link

Otras preguntas

What is 15% of 40? a2 b4 c5 d6

Excess Ca(OH)₂ is shaken with water to produce a saturated solution. The solution is filtered, and a 50.00 mL sample titrated with HCl requires 11.21 mL of 0.09

Bank of the Atlantic has liabilities of $4 million with an average maturity of two years paying interest rates of 4.0 percent annually. It has assets of $5 mill

______ is an award that encourages technological development to benefit humanity

which solution below would be considered the most acidic?a. 2.9 x 10-4 m hclb. 4.5 x 10-5 m hno3c. 1.0 x 10-7 m nacld. 1.5 x 10-2 m kohe. none of the above

Isabella is making waffles. It takes 2/5 of a pound of flour to make 2 waffles. She uses 3 1/5 pounds of flour for every 8 eggs used. If Isabella uses a total o

Due to past abuses, which of the following groups of potential research subjects has specific Department of Health and Human Services (HHS) regulations to ensur

The neutrality acts passed by the united states as part of a policy of isolationism during the 1930s were

Devlin Manufacturing makes a single product. Expected manufacturing costs are as follows:Variable costsDirect materials $6.50 per unitDirect labor 2.40 per unit

A bank has reworked its mortgage application process so that several steps are handled by computer software, and some steps are combined to reduce bottlenecks i