Respuesta :
Answer:
a. x equals 5 plus or minus the square root of 33, all over 2
Step-by-step explanation:
x = (5 +- √25+8)/2 = (5 +- √33)/2
sounds like x equals 5 plus or minus the square root of 33, all over 2 to me
A quadratic equation has a leading coefficient of the second degree. The value of x equals negative 5 plus or minus the square root of 33, all over 2.
What is a quadratic equation?
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
A quadratic equation is can be solved using the formula,
[tex]\text{Roots of quadratic equation} = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
where a, b, and c is the coefficient of x², coefficient of x, and constant respectively. Now, if we describe the value of a, b, and c for the equation x²-5x-2=0, then the value will be a is 1, b is -5, and c is -2. Therefore, the root of the equation can be written as,
[tex]\text{Roots of quadratic equation}, x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
                       [tex]=\dfrac{-(-5)\pm \sqrt{(-5)^2-(4\times 1 \times -2)}}{2 \times 1}\\\\=\dfrac{5\pm \sqrt{25+8}}{2}\\\\=\dfrac{5\pm \sqrt{33}}{2}[/tex]
Thus, the value of x can be written as equal negative 5 plus or minus the square root of 33, all over 2.
Learn more about Quadratic Equations:
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