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andreyandreev [35.5K]
3 years ago
12

. What are the exact solutions of x2 - x - 4 = 0?

Mathematics
2 answers:
Dimas [21]3 years ago
7 0
X ² - x - 4 = 0
x_{1}  = \frac{1+ \sqrt{1+16}  }{2}= \frac{1+ \sqrt{17} }{2} = 2.56
x_{2} =  \frac{1- \sqrt{17} }{2}= - 1.56
Exact values are x 1 = 2.56 and x 2 = -1.56

Snowcat [4.5K]3 years ago
3 0

Answer:

x=\frac{1+\sqrt{17}}{2}  and x=\frac{1-\sqrt{17}}{2}

Step-by-step explanation:

x^2 - x - 4 = 0

To solve for x , apply quadratic formula

x=\frac{-b+-\sqrt{b^2-4ac}}{2a}

a=1 , b= -1 , c= -4

Plug in all the values in the formula

x=\frac{-(-1)+-\sqrt{(-1)^2-4(1)(-4)}}{2(1)}

x=\frac{1+-\sqrt{1+16}}{2}

x=\frac{1+-\sqrt{17}}{2}

x=\frac{1+\sqrt{17}}{2}  and x=\frac{1-\sqrt{17}}{2}

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