<h3>NUMBER 1:</h3>
1.) Give five (5) examples of quadratic equations written in standard form. Identify the values of a, b, and c in each equation.
- <em>a.</em> <u>3 + x² = - 6x</u>
Standard form: x² + 6x + 3 = 0
a, b, and c: a = 1, b = 6, c = - 3
- <em>b</em><em>.</em><em> </em><u>x²</u><u> </u><u>-</u><u> </u><u>3x</u><u> </u><u>=</u><u> </u><u>18</u>
Standard form: x² - 3x - 18 = 0
a, b, and c: a = 1, b = - 3, c = -18
- <em>c</em><em>.</em><em> </em><u>3</u><u> </u><u>+</u><u> </u><u>2x²</u><u> </u><u>=</u><u> </u><u>6</u>
Standard form: 2x² - 3 = 0
a, b, and c: a = 2, b = 0, c = -3
- <em>d</em><em>.</em><em> </em><u>3x</u><u> </u><u>+</u><u> </u><u>2x²</u><u> </u><u>=</u><u> </u><u>7</u>
Standard form: 2x² + 3x - 7 = 0
a, b, and c: a = 2, b = 3, c = -6
- <em>e</em><em>.</em><em> </em><u>x²</u><u> </u><u>+</u><u> </u><u>8x</u><u> </u><u>=</u><u> </u><u>-</u><u> </u><u>8</u>
Standard form: x² + 8x + 8 = 0
a, b, and c: a = 1, b = 8, c = 8
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<h3>NUMBER 2:</h3>
2.) Name three (3) objects or cite three (3) situations in real life where quadratic equations are illustrated. Formulate quadratic equations out of these objects or situations then describe each.
<u>1 and 2.)</u> A company is going to make frames as part of a new product they are launching. The frame will be cut out of piece of steel, and to keep the weight down, the final area should be 28 cm². The inside of the frame has to be cm by 6cm.
Area of steel before cutting :
- = (11 + 2x) × (6 + 2x) cm²
- = 66 + 22x + 12x + 4x²
Quadratic Equation = 4x² + 34x + 66
Area of steel after cutting out the 11 × 6 middle :
Quadratic Equation = 4x² + 34
<u>3</u><u>.</u><u>)</u> A ball is thrown straight up, from 3m above the ground, with a velocity of 14 m/s.
Add them up and the height(h) at any time(t) is :
Quadratic Equation = -5t² + 14t + 3 = 0
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HOPE IT HELPS FOR YOU =)
