Respuesta :
Solving the expression, x²+18•x+4, using the quadratic formula gives;
[tex]x = - 9 \pm \sqrt{77} [/tex]
What is the quadratic formula and how can it be used?
The quadratic expression can be presented as follows;
- x² + 18•x + 4
A comparison of the above expression and the general form of a quadratic function, y = a•x² + b•x + c, gives;
- a = 1, b = 18, and c = 4
The quadratic formula for solving the above equation is as follows;
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 \cdot a\cdot \: c} }{2 \cdot \: a} [/tex]
Therefore, we have;
[tex]x = \frac{ - 18 \pm \sqrt{ {18}^{2} - 4 \times 1 \times 4} }{2 \times 1} = \frac{ - 18 \pm 2 \cdot \sqrt{77} }{2}[/tex]
Which gives;
[tex]x = - 9 \pm \sqrt{77} [/tex]
Learn more about the quadratic formula here:
https://brainly.com/question/472337
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