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Alex73 [517]
2 years ago
12

Verify that the roots of 5x²- 6x -2 = 0 are

0" id="TexFormula1" title="\frac{3 + \sqrt{19} }{5} " alt="\frac{3 + \sqrt{19} }{5} " align="absmiddle" class="latex-formula"> and \frac{3 - \sqrt{19} }{5}​
Mathematics
2 answers:
inysia [295]2 years ago
8 0

Since, LHS = RHS = 0, They are the roots of equation.

Mice21 [21]2 years ago
3 0

Answer:

Proof below.

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

5x^2-6x-2=0

<u>Define the variables</u>:

  • a = 5
  • b = -6
  • c = -2

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}

\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}

\implies x=\dfrac{6 \pm \sqrt{76}}{10}

\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}

\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}

\implies x=\dfrac{6 \pm2\sqrt{19}}{10}

\implies x=\dfrac{3 \pm \sqrt{19}}{5}

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

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charle [14.2K]

Answer:

17 pants and 9 shirts

let x rep pants

let y rep shirts

x + y =26

225 x + 125 y =4950

x = 26 - y

225(26 - y) + 125y= 4950

5850-225y+125y = 4950

5850-100y=4950

-100y=4950-5850

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y=9

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3 0
3 years ago
I need help please I would really appreciate it
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Adding area of both rectangles,

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Hope it helps!!

6 0
3 years ago
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Answer:

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one liter of strawberries weight about 4 kilograms about hkw many liters of strawberries would weight 400 grams
Leokris [45]
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Step-by-step explanation:

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