Solve 5div2.59^2-2

$$5 \div { 2.59 }^{ 2 } -2$$

Evaluate

$$-\frac{84162}{67081}\approx -1.254632459$$

Solution Steps

Calculate 2.59 to the power of 2 and get 6.7081.

$$\frac{5}{6.7081}-2$$

Expand \frac{5}{6.7081} by multiplying both numerator and the denominator by 10000.

$$\frac{50000}{67081}-2$$

Convert 2 to fraction \frac{134162}{67081}.

$$\frac{50000}{67081}-\frac{134162}{67081}$$

Since \frac{50000}{67081} and \frac{134162}{67081} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50000-134162}{67081}$$

Subtract 134162 from 50000 to get -84162.

$$-\frac{84162}{67081}$$

Factor

$$-\frac{84162}{67081} = -1\frac{17081}{67081} = -1.254632459265664$$