All categories

4 years ago

2x^2-5x-3=0 what values of x make this equation true?

Mathematics

2 answers:

Fiesta28 [93]4 years ago

7 0

Answer:

The values of x are -1/2 and 3

Step-by-step explanation:

∵ 2x² - 5x -3 = 0

By using factorization

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

2x + 1 = 0 ⇒ 2x = -1 ⇒ -1/2

x - 3 = 0 ⇒ x = 3

∴ The values of x are -1/2 and 3

Umnica [9.8K]4 years ago

7 0

Answer:

x = -½ and x = 3

Step-by-step explanation:

2x² - 5x - 3 = 0

Rewrite -5x as -6x + x

2x² - 6x + x - 3 = 0

Factor out 2x from the first pair and 1 from the second pair

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

Factor out (x - 3)

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

Apply the Zero Product property

2x + 1 = 0 x - 3 = 0

Solve each equation

2x + 1 = 0 x - 3 = 0

2x = -1 x = 3

x = -½

The equation is true when x = -½ and when x = 3.

You might be interested in

Need help with the rest of my problems

mariarad [96]

H) 58.48 - Instruments
I) 8.46 - Are
J) .38 - Difficult
L) 7.07 - Play
N) 22.222 - Others
O) 36.3 - Are
P) 0.18 - Cymbal

7 0

4 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! <br><br> What is (f/g)(x) ?

Rudiy27

Answer: $\bold{D.\ \dfrac{x+4}{x}\ where\ x \neq 0, \dfrac{2}{3}}$

<u>Step-by-step explanation:</u>

f(x) = 3x² + 10x - 8

g(x) = 3x² - 2x

$\dfrac{f(x)}{g(x)}=\dfrac{3x^2+10x-8}{3x^2-2x}=\dfrac{(3x-2)(x+4)}{x(3x-2)}=\dfrac{x+4}{x}$

Restriction on x: the denominator cannot be equal to zero. So,

x(3x - 2) ≠ 0

→ x ≠ 0 and 3x - 2 ≠ 0

3x ≠ 2

x $\neq \dfrac{2}{3}$

8 0

3 years ago

Tom works 14 hours a week for 10 weeks and earns a total of $1,351.00. How much money does he make per hour?

vagabundo [1.1K]

14 hours a week
works 10 weeks

totally $14 \frac{hours}{week} \ *\ 10 weeks\ =\ 140\ hours$

earns $1,351

so $\frac{1,351}{140} \frac{\$}{h} =9,65$

He makes $9,65 per hour.

M

6 0

4 years ago

Using a simulator at space camp, you practice landing your individual spaceship on landing platforms that have different shapes

Mila [183]

The Area of the platform is 33m²

Step-by-step explanation:

As the question says, the height of vertex from the base (D from AB) is 7m whereas the height of left vertex from the base (E from AB) is 4m

Thus it means the height of the Δ DCE (DX)= 7-4 ⇒3m

Since the platform is five-sided, the figure can be broken down into constituting parts

Parallelogram ║ABCE
Δ DCE

Are of the figure= Area of ║ABCE+ area Δ DCE

Area of ║ABCE= breadth * height

= 6*4 ⇒24m ²

Area Δ DCE= ½*(base)(height)

Putting the value of base is 6m and height as 3m

Area Δ DCE= ½*6*3

=9m ²

Total area= 24+9= 33m ²

3 0

3 years ago

What two fractions make 1/3

Anna11 [10]

1/6 and 1/6 equals 1/3

8 0

3 years ago