Respuesta :
A quadratic equation is an equation whose leading coefficient is of the second degree. The correct options are A, B, and E.
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. The Roots of the quadratic equation:
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.
8(x2 + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot
8(x2 + 2x + 1) = 3 + 1
8(x2 + 2x) = –3
If we simplify the given options, then the option that is correct is,
A.) 8(x² + 2x + 1) = –3 + 8
8x² + 16x + 3 = 0
B.) 8x² + 16x + 3 = 0
[tex]x = \dfrac{-16\pm\sqrt{16^2-4(8)(3)}}{2(8)}\\\\x = -1 \pm \dfrac{\sqrt{10}}{4}\\\\x = -1 \pm \sqrt{\dfrac{10}{16}}\\\\x= -1 \pm \sqrt{\dfrac{5}{8}}[/tex]
E.) 8(x² + 2x) = –3
8x² + 16x + 3 = 0
Hence, the correct options are A, B, and E.
Learn more about Quadratic Equations:
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