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Alex787 [66]
3 years ago
13

Formúla General a) 4x²=9x-2=0 b) X²+8x-84=0​

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:<em> </em><em>a)</em> x=\dfrac{-9 \pm\sqrt{113} }{8}

             <em> b) x₁ = - 14; x₂ = 6.</em>

Step-by-step explanation:

a) 4x² + 9x - 2 = 0

x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=4; \: \: b=9; \: \: c=-2\\x =\dfrac{-9 \pm \sqrt{9^{2}-4 \cdot 4 \cdot (-2) } }{2 \cdot 4} =\dfrac{-9 \pm\sqrt{113} }{8}

b) x² + 8x - 84 = 0

x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x =\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1} =\dfrac{-8 \pm\sqrt{400} }{2}=\dfrac{-8 \pm 20}{2} =-4 \pm 10\\\\x_{1} =-14\\x_{2} =6

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Theo's base salary  using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

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When earnings were $3,835.25 and sales is $12,850, we have the below equation:

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When earnings were $3,641 and sales is $9,875, we have the below equation:

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