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: Multiply both sides by 3+ 10x = 144.+12x = 64.(d)and let y3x.]2. Find the unknown quantity in each of the followingproblems from al-Khowârizmî's Algebra:(a) I multiply a third of a quantity plus a unit by afourth of the quantity plus a unit, and it becomes20 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 thequantity in such a way as to give the quantityitself plus 24 units.I divide 10 units into a quantity and a remaining(c)part, so that the sum of the squares of the twoportions is 58 units.

Name: Question 1 a and 1c ing the needs ofobservation, mathematics was nresu
Uploaded: 2024-03-20T07:06:41.000Z
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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