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rleiphart1
19.10.2019 •
Mathematics
Ineed a step by step explanation how to solve for the solutions of this (not by graphing)
y=({x}^2)-8x+15 and y=3x+15 (once again plz solve using a method other than graphing and add an explanation)
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Ответ:
(0, 15) and (11, 48)
Step-by-step explanation:
Given the 2 equations
y = x² - 8x + 15 → (1)
y = 3x + 15 → (2)
Substitute y = x² - 8x + 15 into (2)
x² - 8x + 15 = 3x + 15 ( subtract 3x + 15 from both sides )
x² - 11x = 0 ← in standard form
x(x - 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x - 11 = 0 ⇒ x = 11
Substitute these values into (2) for corresponding values of y
x = 0 : y = 0 + 15 = 15 ⇒ (0, 15)
x = 11 : y = 33 + 15 = 48 ⇒ (11, 48)
Solutions are (0, 15), (11, 48)
Ответ: