Question 1

Use the quadratic formula to solve the equation.
-$3 x ^ { 2 } - \sqrt { 7 } x - 1 = 0$

Accepted Answer

A)  $\frac { \sqrt { 7 } - i \sqrt { 5 } } { 6 } , \frac { \sqrt { 7 } + i \sqrt { 5 } } { 6 }$ 
B)  $\frac { - \sqrt { 7 } - \sqrt { 19 } } { 6 } , \frac { - \sqrt { 7 } + \sqrt { 19 } } { 6 }$ 
C)  $\frac { \sqrt { 7 } - \sqrt { 19 } } { 6 } , \frac { \sqrt { 7 } + \sqrt { 19 } } { 6 }$ 
D)  $\frac { \sqrt { 7 } - \sqrt { 61 } } { 6 } , \frac { \sqrt { 7 } + \sqrt { 61 } } { 6 }$ 
A)  $\frac { \sqrt { 7 } - i \sqrt { 5 } } { 6 } , \frac { \sqrt { 7 } + i \sqrt { 5 } } { 6 }$ 
B)  $\frac { - \sqrt { 7 } - \sqrt { 19 } } { 6 } , \frac { - \sqrt { 7 } + \sqrt { 19 } } { 6 }$ 
C)  $\frac { \sqrt { 7 } - \sqrt { 19 } } { 6 } , \frac { \sqrt { 7 } + \sqrt { 19 } } { 6 }$ 
D)  $\frac { \sqrt { 7 } - \sqrt { 61 } } { 6 } , \frac { \sqrt { 7 } + \sqrt { 61 } } { 6 }$

Question 2

Use the square root property to solve the equation.
-$( x + 1 ) ^ { 2 } = - 125$

Accepted Answer

A)  $1 - 5 i \sqrt { 5 } , 1 + 5 i \sqrt { 5 }$ 
B)  $- 1 - 5 i \sqrt { 5 } , - 1 + 5 i \sqrt { 5 }$ 
C)  $- 1 - 5 \sqrt { 5 } , - 1 + 5 \sqrt { 5 }$ 
D)  $5 \mathrm { i } \sqrt { 5 } - 1,5 \mathrm { i } \sqrt { 5 } + 1$ 
A)  $1 - 5 i \sqrt { 5 } , 1 + 5 i \sqrt { 5 }$ 
B)  $- 1 - 5 i \sqrt { 5 } , - 1 + 5 i \sqrt { 5 }$ 
C)  $- 1 - 5 \sqrt { 5 } , - 1 + 5 \sqrt { 5 }$ 
D)  $5 \mathrm { i } \sqrt { 5 } - 1,5 \mathrm { i } \sqrt { 5 } + 1$

Use the quadratic formula to solve the equation. - $3 x ^ { 2 } - \sqrt { 7 } x - 1 = 0$

Use the square root property to solve the equation. - $( x + 1 ) ^ { 2 } = - 125$

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 11: Quadratic Equations and Functions

Use the quadratic formula to solve the equation. - 3x2−7x−1=03 x ^ { 2 } - \sqrt { 7 } x - 1 = 03x2−7​x−1=0

Use the square root property to solve the equation. - (x+1)2=−125( x + 1 ) ^ { 2 } = - 125(x+1)2=−125