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Solving Using Quadratic Formula When D>0

The zeros of ...

Question

The zeros of the polynomial $4 x^{2} + 5 \sqrt{2} x - 3$ are

A

(a) $- 3 \sqrt{2}, \sqrt{2}$

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B

(b) $- 3 \sqrt{2}, \frac{\sqrt{2}}{2}$

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C

(c) $\frac{- 3 \sqrt{2}}{2}, \frac{\sqrt{2}}{4}$

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D

(d) none of the these

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Solution

The correct option is C
(c) $\frac{- 3 \sqrt{2}}{2}, \frac{\sqrt{2}}{4}$

$w h e n a x squared plus b x plus c equals 0 x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction i n space t h i s space q u e s t i o n 4 x squared plus 5 square root of 2 x minus 3 equals 0 a equals 4 comma space b equals 5 square root of 2 comma c equals negative 3 x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction x equals fraction numerator negative 5 square root of 2 plus-or-minus square root of 50 minus 4 x 4 x minus 3 end root over denominator 2 x 4 end fraction x equals fraction numerator negative 5 square root of 2 plus-or-minus square root of 50 plus 48 end root over denominator 8 end fraction x equals fraction numerator negative 5 square root of 2 plus-or-minus square root of 98 over denominator 8 end fraction x equals fraction numerator negative 5 square root of 2 plus-or-minus 7 square root of 2 over denominator 8 end fraction x equals fraction numerator 2 square root of 2 over denominator 8 end fraction space o r fraction numerator negative 12 square root of 2 over denominator 8 end fraction x equals fraction numerator square root of 2 over denominator 4 end fraction space o r space fraction numerator negative 3 square root of 2 over denominator 2 end fraction o p t i o n space c space i s space c o r r e c t$

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Similar questions

The zeros of the polynomial $4 x^{2} + 5 \sqrt{2} x - 3$ are ____

The zeros of the polynomial $x^{2} + \frac{1}{6} x - 2$ are

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A quadratic polynomial whose zeros are $5$ and $- 3,$ is

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Q. What is the coefficient of

x^{2}

in the polynomial

5 x^{3} - 4 x^{2} + 3 x + 10

?

Q. Find the zero of the polynomial

3 x + 2

.

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