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# Applications of Quadratic Equations - Word Problems

1. Solve using the quadratic formula:
x^2 = 2x - 10

a) Show what you use for a, b, and c.

2. Brent is flying a kite on 50 feet of string. The kite's vertical distance from Brent is 10 ft more than its horizontal distance from Brent. Find its horizontal and vertical distances from Brent.

3. Solve using the zero-factor principle. Show your factorization.

-6x^2 + 7x = -10

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1. Solve using the quadratic formula:
x^2 = 2x - 10

a) Show what you use for a, b, and c.

Solution:

X^2=2x-10

Make the equation equal to zero, for that subtract 2x on both sides, we get

X^2-2x=-10

Add 10 on both sides, we get

X^2-2x+10= -10+10

X^2-2x+10 =0

This is a quadratic equation in the form of ax^2+bx+c=0, where a#0.

Here a=1 b=-2 and c=10

X=

X=

X=

X= (sqrt(-1) = i

X=
X= and x=

X= ...

#### Solution Summary

Quadratic equations are solved. The solution is detailed and well presented.

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