1 answer:
x² + (3x - 9)² = (2x + 1)²
x² + (3x - 9)(3x - 9) = (2x + 1)(2x + 1)
x² + (9x² - 27x - 27x + 81) = (4x² + 2x + 2x + 1)
x² + (9x² - 54x + 81) = 4x² + 4x + 1
(x² + 9x²) - 54x + 81 = 4x² + 4x + 1
10x² - 54x + 81 = 4x² + 4x + 1
<u>- 4x² - 4x² </u>
6x² - 54x + 81 = 4x + 1
<u> + 54x + 54x </u>
6x² + 81 = 58x + 1
<u> - 1 - 1</u>
6x² + 80 = 58x
6x² - 58x + 80 = 0
x = <u>-(-58) +/-√((-58)² - 4(6)(80)</u>
2(6)
x = <u>58 +/- √(3364 - 1920)</u>
12
x = <u>58 +/- √(1444)</u>
12
x = <u>58 +/- 38</u>
12
x = <u>58 + 38</u> x = <u>58 - 38</u>
12 12
x = <u>96</u> x = <u>20</u>
12 12
x = 6 x ≈ 1.67
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Winner: $75,000
Step-by-step explanation:
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Let 5x=the amount the winner receives
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Step-by-step explanation:
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