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hoa [83]
2 years ago
8

Hello can anyone help me with this question please and thank you

Mathematics
1 answer:
Basile [38]2 years ago
6 0

Answer:

(x-17)+(7x+5)=180

8x-12=180

8x=192

x=24

Step-by-step explanation:

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What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0
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Answer:

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

Step-by-step explanation:

The given equation is

(2x+3)^2+8(2x+3)+11=0

Let us treat this as a quadratic equation in (2x+3).

where a=1,b=8,c=11

The solution is given by the quadratic formula;

(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute these values into the formula to obtain;

(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}

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2x=-3-4-\sqrt{5} or 2x=-3-4+ \sqrt{5}

2x=-7-\sqrt{5} or 2x=-7+ \sqrt{5}

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

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