Question

What values of a and b make this equation true? (4 + √(-49)) - 2(√(-4)^2 + √(-324)) = a + bi a = ? b = ?

Which expressions are equivalent to the given expression? (-√9 + √(-4)) - (2√576 + √(-64))
A) -51 - 6i
B) 45 + 10i
C) -3 - 2i - 2(24) + 8i
D) -3 + 2i - 2(24) - 8i

One solution to a quadratic function, h, is given: -4 + 7i. Which statement is true?
A) Function h has no other solutions.
B) The other solution to function h is -4 - 7i.
C) The other solution to function h is 4 - 7i.
D) The other solution to function h is 4 + 7i.

What are the solutions of this quadratic equation? x^2 - 10x = -34
A) x = -8, -2
B) x = 5 ± 3i
C) x = -5 ± 3i
D) x = -5 ± √59

What are the solutions of this quadratic equation? x^2 = 16x - 65
A) x = 5, -13
B) x = 8 ± 3
C) x = 4, -11
D) x = 1 ± √26

Answer 1

a) -51 b) -6i

b) 45 + 10i

c) The other solution to function h is -4 - 7i.

d) x = 1 ± √26

Step-by-step explanation:

a) Simplify the given expression to find a and b in the form a + bi. The result is a = -51 and b = -6i.

b) Identify equivalent expressions by simplifying each option. The expression equivalent to the given one is 45 + 10i.

c) Given that -4 - 7i is one solution to the quadratic function h, the other solution is -4 - 7i.

d) Solve the quadratic equation
`\(x^2 = 16x - 65\)` to find the solutions. The correct solutions are
`\(x = 1 ± √(26)\)`.