Question

3x^2 - 7x -27 factorise

Answer 1

Answer:

The roots of the equation are 4.39 and -2.05.

Step-by-step explanation:

The formula to compute the roots of the quadratic equation: ax² + bx + c = 0 is:

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

Here

a = 3

b = -7

c = -27

Compute the roots as follows:

$x = \frac{ -(-7) \pm \sqrt{(-7)^2 - 4(3)(-27)}}{ 2(3) }\\x = \frac{ 7 \pm \sqrt{49 - -324}}{ 6 }\\x = \frac{ 7 \pm \sqrt{373}}{ 6 }\\x = \frac{ 7 }{ 6 } \pm \frac{\sqrt{373}\, }{ 6 }\\x=4.39, -2.05$

Thus, the roots of the equation are 4.39 and -2.05.