Question 1

Solve by completing the square.
-$$x ^ { 2 } + 4 x = 7$$

Accepted Answer

A)  $2 + \sqrt { 11 }$ 
B)  $- 1 \pm \sqrt { 11 }$ 
C)  $- 2 \pm \sqrt { 11 }$ 
D)  $- 2 \pm 2 \sqrt { 11 }$ 
A)  $2 + \sqrt { 11 }$ 
B)  $- 1 \pm \sqrt { 11 }$ 
C)  $- 2 \pm \sqrt { 11 }$ 
D)  $- 2 \pm 2 \sqrt { 11 }$

Question 2

Find the x-intercepts.
-$$25 x ^ { 2 } + 4 = 0$$

Accepted Answer

A)  No x-intercepts 
B)  x-intercepts $\left( 0 , - i \sqrt { \frac { 2 } { 5 } } \right) , \left( 0 , i \sqrt { \frac { 2 } { 5 } } \right)$ 
C)  $x$-intercepts $\left( - \sqrt { \frac { 2 } { 5 } } , 0 \right) , \left( \sqrt { \frac { 2 } { 5 } } , 0 \right)$ 
D)  $x$-intercepts $\left( - i \sqrt { \frac { 2 } { 5 } } , 0 \right) , \left( i \sqrt { \frac { 2 } { 5 } } , 0 \right)$ 
A)  No x-intercepts 
B)  x-intercepts $\left( 0 , - i \sqrt { \frac { 2 } { 5 } } \right) , \left( 0 , i \sqrt { \frac { 2 } { 5 } } \right)$ 
C)  $x$-intercepts $\left( - \sqrt { \frac { 2 } { 5 } } , 0 \right) , \left( \sqrt { \frac { 2 } { 5 } } , 0 \right)$ 
D)  $x$-intercepts $\left( - i \sqrt { \frac { 2 } { 5 } } , 0 \right) , \left( i \sqrt { \frac { 2 } { 5 } } , 0 \right)$

Question 3

Solve. Give exact solutions.
-$$64 x ^ { 2 } + 36 = 0$$

Accepted Answer

A)  $\pm \frac { 3 } { 4 } \mathrm { i }$ 
B)  $\frac { 3 } { 4 } \pm i$ 
C)  $\pm \frac { 3 } { 4 } + i$ 
D)  $\pm \frac { 3 } { 4 }$ 
A)  $\pm \frac { 3 } { 4 } \mathrm { i }$ 
B)  $\frac { 3 } { 4 } \pm i$ 
C)  $\pm \frac { 3 } { 4 } + i$ 
D)  $\pm \frac { 3 } { 4 }$

Solve by completing the square. - $x ^ { 2 } + 4 x = 7$

Find the x-intercepts. - $25 x ^ { 2 } + 4 = 0$

Solve. Give exact solutions. - $64 x ^ { 2 } + 36 = 0$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Exponential Functions and Logarithmic Functions

Finding Measures of Central Tendency for Prices and Heights

Filters

Exam 11: Quadratic Equations and Functions

Solve by completing the square. - x2+4x=7x ^ { 2 } + 4 x = 7x2+4x=7

Find the x-intercepts. - 25x2+4=025 x ^ { 2 } + 4 = 025x2+4=0

Solve. Give exact solutions. - 64x2+36=064 x ^ { 2 } + 36 = 064x2+36=0