What is x^2+7.5x-38.5>0 ?

The solution to x^2+7.5x-38.5>0 is x sqrt(52.5625)-3.75

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x^2+7.5x-38.5>0

x^{2} + 7.5 x - 38.5 > 0

x < - 52.5625 - 3.75 or x > 52.5625 - 3.75

Solution steps

x^{2} + 7.5 x - 38.5 > 0

Complete the square

x^{2} + 7.5 x - 38.5 : (x + 3.75)^{2} - 52.5625

(x + 3.75)^{2} - 52.5625 > 0

Move

52.5625

to the right side

(x + 3.75)^{2} > 52.5625

For

u^{n} > a

, if

n

is even then

x + 3.75 < - 52.5625 or x + 3.75 > 52.5625

x + 3.75 < - 52.5625 : x < - 52.5625 - 3.75

x + 3.75 > 52.5625 : x > 52.5625 - 3.75

Combine the intervals

x < - 52.5625 - 3.75 or x > 52.5625 - 3.75

40 + 210 + 90

2 x - 5 = - x + 19

- 2 \leq \frac{\frac{1}{x + 4} - \frac{1}{4}}{x} \leq x

m^{4} + m^{3} + m^{2} + m

5 ab + 10 a c + 15 a

What is x^2+7.5x-38.5>0 ?
The solution to x^2+7.5x-38.5>0 is x<-sqrt(52.5625)-3.75\lor x>sqrt(52.5625)-3.75