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z = 5 - 3i Find z^2 in a form of a + bi, where a and b are real constants

z^2 = (5-3i) = 25 - 30i + 9i^2Since i^2 = -1 => z^2 = 16-30i
AM
Answered by Adam M. • Maths tutor
3321 Views

How do you factorise a simple quadratic equation?

Simple quadratic equations e.g. x 2 +5x + 6 = 0 , can be solved by evaluating the second and third terms. Quadratic equations can be represented within two sets of brackets (x + a)(x + b) . Using this templa...
KF
Answered by Kendall F. • Maths tutor
3121 Views

In a school, there is a total of 640 children. The ratio of Girls to boys is 7:9. How many boys are there in this school?

The first step to this question would be to add both of the ratio values which would be 16.Then you would divide the amount of children which is 640 by the value 16. You would Get 40. Then multiply 40 by 9 w...
CA
14389 Views

Solve the simulaneous Equations: 5x + y = 21, x - 3y = 9

Steps to solve a simultaneous Equation:1) Make x and y coefficients the same2) Subtract or add (of which depends on scenario) equations to eliminate x or y3) Solve remaining variable4) Plug into other equati...
TT
Answered by Tait T. • Maths tutor
3144 Views

Factorise and thus solve: x^2– 2x– 24 = 0

x=6x=-4
HK
Answered by Harry K. • Maths tutor
4015 Views