PEF and triangle GHI are similar right triangles.
1 answer:
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Answer:
<em>8(x2 + 2x) = –3 </em>
<em>8(x2 + 2x + 1) = –3 + 8 </em>
<em>x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot</em>
Step-by-step explanation:
<u>Solving Quadratic Equations </u>
Sometimes it's preferred to solve quadratic equations without the use of the known quadratic formula solver. One of the most-used methods consists of completing squares and solving for x.
We have the equation
We separate variables from constants
Taking the common factor 8
Completing squares in the brackets and balancing the equation in the right side
Factoring the perfect square
Isolating x
We can clearly see the steps used to solve the quadratic equation are (in order and written like in the question)
8(x2 + 2x) = –3
8(x2 + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot