The value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4
What is a quadratic equation ?
Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)
We have a quadratic equation;
0 = x² – 5x – 4 or
x² – 5x – 4 = 0
Here a = 1, b = -5, and c = -4
\(\rm x = \dfrac{-(-5) \pm\sqrt{-5^2-4(1)(-4)}}{2(1)}\)
\(\rm x = \dfrac{5 \pm\sqrt{41}}{2}\)
After simplification:
x = 5.70 or x = -0.70
The value x = -0.70 is the negative real number.
Thus, the value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4
Learn more about quadratic equations here:
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