ing the needs of observation, mathematics was n results for their own sake was Europe. 5.5 Problems 1. Solve the following quadratic equations by the Arabic method of completing the square: (a) x28x = 9. (b) х2 (c) x2 3x2+10x 32. [Hint: Multiply both sides by 3 + 10x = 144. +12x = 64. (d) and let y 3x.] 2. Find the unknown quantity in each of the following problems from al-Khowârizmî's Algebra: (a) I multiply a third of a quantity plus a unit by a fourth of the quantity plus a unit, and it becomes 20 units. [Hint: If x is the quantity, then (x/3+1)(x/4 + 1) = 20.] (b) I multiply a third of a quantity by a fourth of the quantity in such a way as to give the quantity itself plus 24 units. I divide 10 units into a quantity and a remaining (c) part, so that the sum of the squares of the two portions is 58 units.

ing the needs of observation, mathematics was n results for their own sake was Europe. 5.5 Problems 1. Solve the following quadratic equations by the Arabic method of completing the square: (a) x28x = 9. (b) х2 (c) x2 3x2+10x 32. [Hint: Multiply both sides by 3 + 10x = 144. +12x = 64. (d) and let y 3x.] 2. Find the unknown quantity in each of the following problems from al-Khowârizmî's Algebra: (a) I multiply a third of a quantity plus a unit by a fourth of the quantity plus a unit, and it becomes 20 units. [Hint: If x is the quantity, then (x/3+1)(x/4 + 1) = 20.] (b) I multiply a third of a quantity by a fourth of the quantity in such a way as to give the quantity itself plus 24 units. I divide 10 units into a quantity and a remaining (c) part, so that the sum of the squares of the two portions is 58 units.

Name: Question 1 a and 1c ing the needs ofobservation, mathematics was nresu
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Description: Question 1 a and 1c ing the needs ofobservation, mathematics was nresults for their own sake wasEurope.5.5 Problems1. Solve the following quadratic equations by the Arabicmethod of completing the square:(a) x28x = 9.(b) х2(c) x23x2+10x 32. [Hint: Mul

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.5: Solving Quadratic Equations By Completing The Square

Problem 47PFA

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

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Question

Question 1 a and 1c

ing the needs of
observation, mathematics was n
results for their own sake was
Europe.
5.5 Problems
1. Solve the following quadratic equations by the Arabic
method of completing the square:
(a) x28x = 9.
(b) х2
(c) x2
3x2+10x 32. [Hint: Multiply both sides by 3
+ 10x = 144.
+12x = 64.
(d)
and let y
3x.]
2. Find the unknown quantity in each of the following
problems from al-Khowârizmî's Algebra:
(a) I multiply a third of a quantity plus a unit by a
fourth of the quantity plus a unit, and it becomes
20 units. [Hint: If x is the quantity, then
(x/3+1)(x/4 + 1) = 20.]
(b) I multiply a third of a quantity by a fourth of the
quantity in such a way as to give the quantity
itself plus 24 units.
I divide 10 units into a quantity and a remaining
(c)
part, so that the sum of the squares of the two
portions is 58 units.

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