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Olenka [21]
1 year ago
6

Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation one-halfx2 4x 8 = 0. whi

ch explanation could anderson provide?
Mathematics
1 answer:
amid [387]1 year ago
3 0

Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,

<h3>What is quadratic equation?</h3>

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

<h3>What is discriminant?</h3>

A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.

<h3>According to the given information:</h3>

0.5x^2 + 4x + 8 = 0

The discriminant is computed utilizing:

d = b^2 - 4ac

Thus, we have:

d = 4^2 - 4 * 0.5 * 8

Evaluate

d = 0

The equation has only one real root since the discriminant is 0,

To know more about discriminant visit:

brainly.com/question/16369636

#SPJ4

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Mice21 [21]

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
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<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)}

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

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\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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1 year ago
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Answer:

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Step-by-step explanation:

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a should be 3, or the y value where the x value is 0

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Trapezoid p is the image of trapezoid P after a translation. Y 7+ . р на дъл от - 1 -7-6-5-4-3-2-1 -2+ 11 2 3 4 5 6 7 1 PY 1 - -
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Answer:

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Step-by-step explanation:

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