Question

$x2 - 2x - 9 = 0$
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Answer 1

Answer:

this equation doesn't have any root

please mark it as a brainliest answer

Answer 2

Answer:

The roots are 4.162 and -2.162.

Step-by-step explanation:

The roots of a quadratic equation ax² + bx + c = 0 are:

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

Here,

a = 1

b = -2

c = -9

Compute the roots as follows:

$x = \frac{ -(-2) \pm \sqrt{(-2)^2 - 4(1)(-9)}}{ 2(1) }\\x = \frac{ 2 \pm \sqrt{4 - -36}}{ 2 }\\x = \frac{ 2 \pm \sqrt{40}}{ 2 }\\x = \frac{ 2 \pm 2\sqrt{10}\, }{ 2 }\\x = \frac{ 2 }{ 2 } \pm \frac{2\sqrt{10}\, }{ 2 }\\x = 1 \pm \sqrt{10}\,\\x=4.162, -2.162$

Thus, the roots are 4.162 and -2.162.