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daser333 [38]
3 years ago
15

5x2 – 2x + 5 = 0 Solve

Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

Answer:

x =  \frac{15}{2}  = 7 \frac{1}{2}

Step-by-step explanation:

5 \times 2 - 2x + 5  = 0\\ 10 - 2x + 5 = 0 \\ 15 - 2x = 0 \\ 15 - 2x  - 15 = 0 - 15 \\  - 2x = 0 - 15 \\  - 2x =  - 15 \\ x = 15 \div 2 \\

\boxed{\green{\boxed{\bold{x =  \frac{15}{2}  = 7 \frac{1}{2} }}}}

┈➤ . . ⇢ ˗ˏˋ⌦ ..♡ˎˊ˗ ꒰✈꒱   

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┊✿꒷꒦ Thankyou

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★ . ꜝꜞ ᳝ ࣪ hope that helped!  ʬʬ

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andrew11 [14]

Answer:  a)\quad y=\dfrac{4}{5}x+\dfrac{8}{5}               b)\quad y=\dfrac{1}{3}x+\dfrac{10}{3}                

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

Use the Slope formula:      m=\dfrac{y_2-y_1}{x_2-x_1}

and the Point-Slope formula:   y - y₁ = m(x - x₁)

a) (-2, 0) and (3, 4)

 m=\dfrac{0-4}{-2-3}\quad =\dfrac{-4}{-5}\quad =\dfrac{4}{5}

Let (x₁, y₁) = (-2, 0)      

y - y₁ = m(x - x₁)

y-0=\dfrac{4}{5}\bigg(x-(-2)\bigg)\\\\\\y\quad =\dfrac{4}{5}\bigg(x+2\bigg)\\\\\\\large\boxed{y\quad =\dfrac{4}{5}x+\dfrac{8}{5}}

b) m = 1/3     (x₁, y₁) = (2, 4)    

y - y₁ = m(x - x₁)

y-4=\dfrac{1}{3}\bigg(x-2\bigg)\\\\\\y-4 =\dfrac{1}{3}x-\dfrac{2}{3}\\\\\\y\quad \ =\dfrac{1}{3}x-\dfrac{2}{3}+\dfrac{12}{3}\\\\\\\large\boxed{y\quad =\dfrac{1}{3}x+\dfrac{10}{3}}

7 0
4 years ago
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