Question

(2,5-2,3)×(-5,7)+1,3:(-5,6)

Answer 1

0,3*(-5,7)+(-0,23214)= -1,71+(-0,23214)=-1,94214

Answer 2

To calculate the expression (2,5-2,3)×(-5,7)+1,3:(-5,6), let's break it down into steps:

Step 1: Evaluate the subtraction (2,5 - 2,3): (2,5 - 2,3) = 0,2

Step 2: Evaluate the multiplication (0,2 × (-5,7)): Multiplying a complex number by another complex number is done by distributing the real and imaginary parts. Let's perform the calculation:

0,2 × (-5,7) = (0,2 × -5) + (0,2 × 7)i = -1 + 1,4i

Step 3: Evaluate the division (1,3 : (-5,6)): Dividing a complex number by another complex number is done by multiplying both the numerator and denominator by the complex conjugate of the denominator. Let's perform the calculation:

Conjugate of (-5,6) = -5 - 6i

1,3 : (-5,6) = (1,3 × (-5 - 6i)) : ((-5,6) × (-5 - 6i)) = (-6,5 - 7,8i) : (31 + 36i)

To simplify further, we can multiply the numerator and denominator by the conjugate of the denominator:

(-6,5 - 7,8i) : (31 + 36i) = ((-6,5 - 7,8i) × (31 - 36i)) : ((31 + 36i) × (31 - 36i)) = (-201,5 + 414,3i) : (961 + 1296) = (-201,5 + 414,3i) : 2257

Therefore, the final result of the expression (2,5-2,3)×(-5,7)+1,3:(-5,6) is approximately:

-1 + 1,4i + (-201,5 + 414,3i) / 2257