Which are the solution of x2=-5x+8

Mathematics

1 answer:

yawa3891 [41]2 years ago

4 0

rewrite the equation set = to 0.

x^2 + 5x - 8 = 0

The quadratic will not factor so you have to use the quadratic formula.

x = (-b + - sqrt(b^2 - 4ac))/2a

x = (5 + - sqrt(25 - 4* 1* -8))/2

x = (5 + - sqrt 57)/2

The x2is not the same as 2x. It is x^2. X tot he second power which makes the problem a quadratic equation. You cannot combine the terms x^2 and -5x because they so not have the same power.

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What is the distance between the points (-3, 4) and (5,4)?

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Answer:

<h2>8 units</h2>

solution,

Let the points be A and B

A(-3,4)---->(X1,y1)

B(5,4)----->(x2,y2)

now,

Distance:

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ = \sqrt{ {(5 - ( - 3))}^{2} + (4 - 4) ^{2} } \\ = \sqrt{ {(5 + 3)}^{2} + {(0)}^{2} } \\ = \sqrt{ {(8)}^{2} + 0} \\ = \sqrt{64} \\ = \sqrt{ {(8)}^{2} } \\ = 8 \: units$