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3 years ago

Use the quadratic formula to solve for the roots in the following equation.

Mathematics

1 answer:

fomenos3 years ago

6 0

First lets combine terms.

4x 2 + 5x + 2 = 2x 2 + 7x – 1 subtract the left side from right side

(4x 2- 2x 2) + (5x - 7x) + (2 + 1)=0 then combining
2x 2 - 2x + 3 =0 now we can use the quadratic formula


a=2, b=-2 c=3

see attached and plug them in

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Sammy was selling tickets for the football game. He sold five more adult tickets than senior tickets and twice as many children'

tester [92]

Sammy was selling tickets for the football game. He sold five more adult tickets (AT) than senior tickets (ST) and twice as many children's tickets (CT) than senior tickets. Let s represent the number of senior tickets sold

ST = AT - 5

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4 years ago

How u solve these I don’t get it :h

Nataliya [291]

9514 1404 393

Answer:

x = 2

Step-by-step explanation:

As you have indicated, you want to multiply both sides of the equation by 6x.

$\dfrac{1}{x}=\dfrac{1}{6}+\dfrac{1}{3}\qquad\text{given}\\\\\left(\dfrac{1}{x}\right)\cdot6x=\left(\dfrac{1}{6}+\dfrac{1}{3}\right)\cdot6x\qquad\text{multiply by 6x}\\\\6=x+2x\qquad\text{simplify}\\\\6 = 3x\qquad\text{collect terms}\\\\\dfrac{6}{3}=x\qquad\text{divide by the coefficient of $x$}\\\\\boxed{x=2}$

_____

Additional comment

The denominator on the left is x. The least common denominator on the right is 6. To clear fractions, you can multiply by the product of these values: 6x. Doing this gave us the one-step linear equation 6 = 3x.

As with any operation performed on an equation, the operation must be performed on both sides of the equation. Here, we multiply both sides by 6x. It is a bit unconventional and confusing to show that multiplication as you have shown it in your figure. Usually, it would be shown as in the 2nd line of the solution, above.

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