Answered

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solve the equation using the quadratic formulax^2+6x-2=0x=?

Sagot :

[tex]x^2\text{ + 6x - 2 = 0}[/tex]

a = 1, b = 6, c = -1

Using the quadratic formula:

[tex]x\text{ = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-6\pm\sqrt[]{6^2-4\cdot1\cdot(-2)_{}}}{2\cdot1}=\frac{-6\pm\sqrt[]{36+8}}{2}=\frac{-6\pm\sqrt[]{44}}{2}=\frac{-6\pm6.6332}{2}[/tex][tex]x_1=\frac{-6+6.6332}{2}=\frac{0.6332}{2}=0.3166[/tex][tex]x_2=\frac{-6-6.6332}{2}_{}_{}=\frac{-12.6332}{2}=-6.3166[/tex]

Answer:

x1 = 0.3166

x2 = -6.3166

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