Solve for x. Write both solutions, separated by a comma. 6x^2 + x-1=0

Mathematics

1 answer:

AysviL [449]4 years ago

7 0

Answer:

x = - $\frac{1}{2}$ , x = $\frac{1}{3}$

Step-by-step explanation:

Given

6x² + x - 1 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 1 = - 6 and sum = + 1

The factors are - 2 and + 3

Use these factors to split the x- term

6x² - 2x + 3x - 1 = 0 ( factor the first/second and third/fourth terms )

2x(3x - 1) + 1(3x - 1) = 0 ← factor out (3x - 1) from each term

(3x - 1)(2x + 1) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - $\frac{1}{2}$

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = $\frac{1}{3}$

You might be interested in

Gabe drove 124 miles in 150 minutes. find Gabe's speed in kilometers per hour. HELP PLEASE FOR MY TEST TMMRW

mario62 [17]

First, you need to convert the minutes into hours, to do this you divide the minutes by 60 (the amount of minutes in an hour). Once you've gotten the value (which is 2.5), you divide that by the amount of miles drove, then you get the unit rate, or in other words the kilometers per hour, which equals 49.6 km/h

4 0

3 years ago

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(

Marina86 [1]

$f(t) = -16t^{2} +48t + 100$
Average rate of change from t = 3 seconds to t = 5 seconds = $\frac{f(5)-f(3)}{5-3} = \frac{(-16( 5^{2})+48(5)+100)-(-16( 3^{2})+48(3)+100 }{2}=$ $\frac{(-16(25)+240+100)-(-16(9)+144+100)}{2} = \frac{(-400+240+100)-(-144+144+100)}{2}=$ $\frac{-60-100}{2} = \frac{-160}{2} = -80$

5 0

3 years ago

Find the quotient. Do not round. 55.328 ÷ 3.8

enot [183]

Hello

the answer is 14.56

Have a nice day

<span>
</span>

7 0

3 years ago

Read 2 more answers

Krystal hiked 109 miles last year. Tanji hiked 12 times as many miles as Krystal. How many miles did Tanji hike last year?

strojnjashka [21]

Answer:

1308