All categories

3 years ago

Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!

Mathematics

1 answer:

Westkost [7]3 years ago

8 0

Answer:

In radical from 169/50 , 177/200

Step-by-step explanation:

Given:

$2x^2=5x+6\\\\2x^2-5x-6=0\\\\Where, a=2 , b=-5 , c=-6$

Find:

Value of $x$

Computation:

Using quadratic formula:

$\frac{-b\±\sqrt{b^2-4ac} }{2a}\\\\By\ putting\ all\ value\\\\ \frac{-(-5)\±\sqrt{(-5)^2-4(2)(-6)} }{2(2)}\\\\ \frac{5\±\sqrt{25+48} }{4}\\\\ \frac{5\±8.54 }{4}\\\\\frac{5+8.54 }{4},\frac{5-8.54 }{4} \\\\3.38 , 0.885$

Value of $x$ 3.38 , 0.885

In radical from 169/50 , 177/200

You might be interested in

Solve the inequality −8 ≤ z + 6.4

drek231 [11]

Answer:

-14.4<or=z

Step-by-step explanation:

-8-6.4or = z+6.4-6.4

-14.4_<z

5 0

2 years ago

find the x-intercepts and the coordinates of the vertex for the parabola Y equals negative X squared plus 8X -12. If there’s mor

Oksanka [162]

Answer:

x = 2, and 6

x = 2 , 6

Step-by-step explanation:

The quadratic function to analyze is: $y = -x^2+8x-12$

In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):

$y = -x^2+8x-12\\0 = -x^2+8x-12\\x^2-8x+12=0$

This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".

The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:

$x^2-8x+12=0\\x^2-2x-6x+12=0\\(x^2-2x)+(-6x+12)=0\\x(x-2)-6(x-2)=0\\(x-2)(x-6)=0$

For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).

So, there are two x-intercepts: x= 2, and 6

3 0

3 years ago

In a standard deck of 52 cards, what is the probability of drawing one card and getting a face card or a heart?

serious [3.7K]

Answer: I hope this helps :)

Step-by-step explanation:

All in all, this leaves us with #(Heart or Face card) = 13+12–3=22 cards.

So your probability would be p(Heart or Face card)= 22/52 or 11/26 or 42,3%

(but they are all the same)

4 0

3 years ago

Read 2 more answers

Tina's swimming lesson started at 5:30 P.M. and ended at 6:25 P.M. How long did the swimming lesson last?

Sergio039 [100]

55 minutyes my g thats right

5 0

3 years ago

Read 2 more answers

A used car dealer sells SUVs and cars. Of all the vehicles, 70% are cars. Of all the vehicles, 10% are black SUVs. What is the p

grin007 [14]

Answer: 0.3

Step-by-step explanation:

From the question,

A used car dealer sells SUVs and cars. Of all the vehicles, 70% are cars. Since 70% are cars, SUV will be (100% - 70%) = 30%. Of all the vehicles, 10% are black SUVs. To calculate the probability than an SUV chosen is black goes thus:

P(A|B) = P(A and B) / P(B)

P(SUV | black) = P(SUV and black) / P(suv)

P(suv | black) = 10%/ 30%

P(suv | black) = 0.1/0.3

P(suv | black) = 0.3

5 0

3 years ago