2 years ago

Sydney's car used 1/ 3/5

Mathematics

1 answer:

sleet_krkn [62]2 years ago

5 0

Answer:

Sydney car can go 44.4 miles on gallon

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Answer:

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$5(x^2+4x+4)=7+20$

$(x+2)=\pm\sqrt{\frac{27}{5}}$

Step-by-step explanation:

we have

$5x^2+20x-7=0$

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$5x^2+20x=7$

step 2

Factor 5 left side

$5(x^2+4x)=7$

step 3

Complete the square

$5(x^2+4x+2^2)=7+2^2(5)$

$5(x^2+4x+4)=7+20$

$5(x^2+4x+4)=27$

step 4

Rewrite as perfect squares

$5(x+2)^2=27$

step 5

$(x+2)^2=\frac{27}{5}$

$(x+2)=\pm\sqrt{\frac{27}{5}}$

$(x+2)=\pm\frac{3\sqrt{15}}{5}$

step 6

$x=-2\pm\frac{3\sqrt{15}}{5}$

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