Theory Proportions.pptx - Aim How do we use quadratic equations to solve proportions Find the roots 1 x2 \u2013 64 = 0 2 8x2 \u2013 64x = 0 3 x2 \u2013 16x 64 =

# Theory Proportions.pptx - Aim How do we use quadratic...

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Aim : How do we use quadratic equations to solve proportions? Find the roots: 1) x 2 – 64 = 0 2) 8x 2 – 64x = 0 3) x 2 – 16x + 64 = 0 1) Ensure the quadratic equation is set to zero. 2) Factor the quadratic equation (GCF, perfect square binomial [DOTS], trinomial) 3) T-chart 4) Solve for x
1) x 2 – 64 = 0 2) 8x 2 – 64x = 0 3) x 2 – 16x + 64 = 0
Try these… 1) 2) 3) 20 5 2 x 1 12 3 2 x d 40 5 2
You can do this! 12 6 6 x x
Steps for solving proportions involving quadratics 1. Cross Multiply 2. Put the equation in standard form (0 = ax 2 + bx + c) 3. Factor to solve Yes, you need to copy these!
Practice Time! 6 2 3 x x x 8 5 7 6 x x 1) 2) 3) 4) 5) 6 5 8 x x x x 1 2 6 1 1 x x
1) 2) 6 5 8 x x 6 1 1 x x
6 2 3 x x x 8 5 7 6 x x 3) 4) 5) x x 1 2
How about this one?! Which value of x is a solution of 1) -2 2) -3 3) -10 4) -15 6 13 5 x x
One More… 8 6 7 5 x x What is the solution set of:
Aim: How do we use quadratic equations to solve other problems?

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• Spring '17
• karish
• Quadratic equation, Max, Two years, 3 years, 6 inches

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