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IrinaVladis [17]
3 years ago
7

Which are the solutions of x2 = –7x – 8?

Mathematics
2 answers:
vovangra [49]3 years ago
7 0

Answer:

The solutions are:

x_1=\frac{-7+\sqrt{17}}{2}     x_2=\frac{-7-\sqrt{17}}{2}

Step-by-step explanation:

We have the following quadratic equation

x^2 = -7x - 8

We can rewrite the equation as follows

x^2+7x + 8=0

Now we use the quadratic formula to solve the equation

For an equation of the form ax ^ 2 + bx + c = 0 the quadratic formula is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case:

a=1,\ b=7,\ c=8

Then:

x=\frac{-7\±\sqrt{7^2-4(1)(8)}}{2(1)}

x=\frac{-7\±\sqrt{49-32}}{2}

x=\frac{-7\±\sqrt{17}}{2}

x_1=\frac{-7+\sqrt{17}}{2}

x_2=\frac{-7-\sqrt{17}}{2}

pishuonlain [190]3 years ago
4 0

Answer:

D on ed :)

Step-by-step explanation:

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