Solve x2 + 5x + 6 = 0

Use the quadratic formula

   =−±2−4√2

x=−b±b2−4ac2ax=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c{2{\color{#c92786}{a}}}x=2a−b±b2−4ac

   Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

   2+5+6=0

   x2+5x+6=0x^{2}+5x+6=0x2+5x+6=0

   =1

   a=1a={\color{#c92786}{1}}a=1

   =5

   b=5b={\color{#e8710a}{5}}b=5

   =6

   c=6c={\color{#129eaf}{6}}c=6

=−5±52−4⋅1⋅6√2⋅1

2

Simplify

3

Separate the equations

4

Solve

Solution

=−2=−3

Step-by-step explanation:

expression #3 is not equivalent. the others are.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet