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Choose the equation that represents the solutions of 0=0.25x^2-8x O x=(0.25pm sqrt ((0.25)^2-(4)(1)(-8)))/(2(1)) x=(-0.25pm sqrt ((0.25)^2-(4)(1)(-8)))/(2(1)) x=(8pm sqrt ((-8)^2-(4)(0.25)(0)))/(2(0.25)) x=(-8pm sqrt ((-8)^2-(4)(0.25)(0)))/(2(0.25))

Pergunta

Choose the equation that represents the solutions of
0=0.25x^2-8x
O
x=(0.25pm sqrt ((0.25)^2-(4)(1)(-8)))/(2(1))
x=(-0.25pm sqrt ((0.25)^2-(4)(1)(-8)))/(2(1))
x=(8pm sqrt ((-8)^2-(4)(0.25)(0)))/(2(0.25))
x=(-8pm sqrt ((-8)^2-(4)(0.25)(0)))/(2(0.25))

Choose the equation that represents the solutions of 0=0.25x^2-8x O x=(0.25pm sqrt ((0.25)^2-(4)(1)(-8)))/(2(1)) x=(-0.25pm sqrt ((0.25)^2-(4)(1)(-8)))/(2(1)) x=(8pm sqrt ((-8)^2-(4)(0.25)(0)))/(2(0.25)) x=(-8pm sqrt ((-8)^2-(4)(0.25)(0)))/(2(0.25))

Solução

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TatianiProfissional · Tutor por 6 anos

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To solve the quadratic equation $0=0.25x^{2}-8x$, we can use the quadratic formula:<br /><br />$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$<br /><br />In this case, $a=0.25$, $b=-8$, and $c=0$. Plugging these values into the quadratic formula, we get:<br /><br />$x=\frac{-(-8)\pm\sqrt{(-8)^2-4(0.25)(0)}}{2(0.25)}$<br /><br />Simplifying further, we have:<br /><br />$x=\frac{8\pm\sqrt{64-0}}{0.5}$<br /><br />$x=\frac{8\pm\sqrt{64}}{0.5}$<br /><br />$x=\frac{8\pm8}{0.5}$<br /><br />Therefore, the correct equation that represents the solutions of $0=0.25x^{2}-8x$ is:<br /><br />$x=\frac{8\pm\sqrt{(-8)^2-(4)(0.25)(0)}}{2(0.25)}$
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