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luda_lava [24]
3 years ago
14

exFormula1" title="2(a+11)=-3(16-a)\\\\ also this\\2(x+10)=2(3x-8)" alt="2(a+11)=-3(16-a)\\\\ also this\\2(x+10)=2(3x-8)" align="absmiddle" class="latex-formula">
can ya'll solve this for me please
Mathematics
1 answer:
adell [148]3 years ago
8 0

Answer:

sorry no

Step-by-step explanation:

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GREYUIT [131]

We have two set of solutions , (  \frac{\sqrt{29} }{2}  ,  \frac{\sqrt{29} }{2} + 3 ) , (  -\frac{\sqrt{29} }{2} + 3 ,  -\frac{\sqrt{29} }{2} + 3).

<u>Step-by-step explanation:</u>

We have , the following equations:

y = x+3  and y = x^{2} +2x -4 . Let's substitute value of y in bottom equation:

⇒ y = x^{2} +2x -4

⇒ x+3 = x^{2} +2x -4

⇒ x^{2} +x -7= 0

Roots of quadratic equation are given by: a = 1, b= 1 , c = -7

x = \frac{\sqrt{b^{2}-4ac} }{2a}

⇒ x = \frac{\sqrt{b^{2}-4ac} }{2a}

⇒ x = \frac{\sqrt{1^{2}-4(1)(-7)} }{2(1)}

⇒ x = \frac{\sqrt{29} }{2} which is actually x = ± \frac{\sqrt{29} }{2} .

We know that y = x+3,

⇒ y = ± \frac{\sqrt{29} }{2} + 3.

We have two set of solutions , (  \frac{\sqrt{29} }{2}  ,  \frac{\sqrt{29} }{2} + 3 ) , (  -\frac{\sqrt{29} }{2} + 3 ,  -\frac{\sqrt{29} }{2} + 3).

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