Square Roots
Solve the equation using square roots
s2 = 144
s= +/- 12
Solve by Factoring
0 = z2 − 10z + 25
z = 5
What does zero of a function mean?
x value for which f(x) =0
Find the sq. root of the number
2 √ −16
8i
Add or subtract. Write the answer in standard form.
(6 − i ) + (7 + 3i )
13 + 2i
Solve the equation using square roots
(z-6)2 =25
z= 1, z=11
Solve by Factoring
x2 − 8x = −12
x = 6 and x = 2
What does root of an equation mean?
a solution of the equation
Find the sq. root of the number
6 √−63
18i √ 7
Add or subtract. Write the answer in standard form.
(12 − 3i ) + (7 + 3i )
19
Solve the equation using square roots
7(x − 4)2 − 18 = 10
x = 6, x =2
Solve by Factoring
t2 + 8t + 16 = 0
t = −4
What is the standard form of a quadratic equation?
ax2+bx+c=0
Find the value of x and y that satisfy the equation
4x + 2i = 8 + yi
x = 2 and y = 2
Add or subtract. Write the answer in standard form.
7 − (3 + 4i ) + 6i
4 + 2i
Solve the equation using square roots
4(x-1)2 +2 =10
x = 1 +/- √2
Solve by Factoring
f (x) = 2x2 − 2x − 12
x = 3 and x = −2
What is the imaginary unit i defined as?
i=√-1
Find the value of x and y that satisfy the equation
−10x + 12i = 20 + 3yi
x = −2 and y = 4
Write the answer in standard form
(3 − 6i )2
−27 − 36i
Solve the equation using square roots
2(x + 2)2 − 5 = 8
x = −2 ± √26/2
Solve by factoring
−y + 28 + y2 = 2y + 2y2
y = 4 and y = −7
What is the standard form of a complex number?
a+bi
Find the value of x and y that satisfy the equation
54 − 1/7 yi = 9x − 4i
x = 6 and y = 28
Write the answer in standard form
(3 − 2i )(4 + i )
14 − 5i