Respuesta :
The quadratic equation has a leading degree of 2. The solution to the given quadratic equation is [tex]x=\frac{-5 \pm\sqrt{9}}{8} \\[/tex]
Quadratic formula
The standard quadratic equation is given as:
ax² + bx + c = 0
The general equation is given as:
[tex]x=\frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Given the quadratic expression
4x² + 5x + 1 = 0
a = 4
b = 5
c = 1
Substitute
[tex]x=\frac{-5 \pm\sqrt{5^2-4(4)(1)}}{2(4)}\\ x=\frac{-5 \pm\sqrt{9}}{8} \\[/tex]
Hence the solution to the given quadratic equation is [tex]x=\frac{-5 \pm\sqrt{9}}{8} \\[/tex]
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