Solve 0,25-[1,55-5,55(1,300/2500)+(1300/2500)^2]

$$0,25 - [ 1,55 - 5,55 ( \frac { 1,300 } { 2500 } ) + ( \frac { 1300 } { 2500 } ) ^ { 2 } ]$$

Evaluate

$$-1,567514$$

Solution Steps

Expand \frac{1,3}{2500} by multiplying both numerator and the denominator by 10.

$$0,25-\left(1,55-5,55\times \frac{13}{25000}+\left(\frac{1300}{2500}\right)^{2}\right)$$

Multiply 5,55 and \frac{13}{25000} to get \frac{1443}{500000}.

$$0,25-\left(1,55-\frac{1443}{500000}+\left(\frac{1300}{2500}\right)^{2}\right)$$

Subtract \frac{1443}{500000} from 1,55 to get \frac{773557}{500000}.

$$0,25-\left(\frac{773557}{500000}+\left(\frac{1300}{2500}\right)^{2}\right)$$

Reduce the fraction \frac{1300}{2500} to lowest terms by extracting and canceling out 100.

$$0,25-\left(\frac{773557}{500000}+\left(\frac{13}{25}\right)^{2}\right)$$

Calculate \frac{13}{25} to the power of 2 and get \frac{169}{625}.

$$0,25-\left(\frac{773557}{500000}+\frac{169}{625}\right)$$

Add \frac{773557}{500000} and \frac{169}{625} to get \frac{908757}{500000}.

$$0,25-\frac{908757}{500000}$$

Subtract \frac{908757}{500000} from 0,25 to get -\frac{783757}{500000}.

$$-\frac{783757}{500000}$$

Factor

$$-1,567514$$