Write all radicals in simplified form, and all answers in lowest terms.
1.x² + 9x = 4x - 3
2. 2k² - 5k + 4 = 0
1.x² + 9x = 4x - 3
2. 2k² - 5k + 4 = 0
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1).
x² + 9x = 4x - 3
x^2 + 5x + 3 = 0
Solutions:
x = 1/2(-5 - √13)
x = 1/2(√13 - 5)
2).
2k² - 5k + 4 = 0
Complex solutions:
k = 1/4(5 - i√7)
k = 1/4(5 + i√7
x² + 9x = 4x - 3
x^2 + 5x + 3 = 0
Solutions:
x = 1/2(-5 - √13)
x = 1/2(√13 - 5)
2).
2k² - 5k + 4 = 0
Complex solutions:
k = 1/4(5 - i√7)
k = 1/4(5 + i√7