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Mathematics

Grade10

Easy

Question

Use the quadratic formula for the equation $negative 8 x to the power of 2 end exponent plus 1 equals 0$ .

$\frac{\mp \sqrt{2}}{8}$
$\frac{\mp \sqrt{2}}{2}$
$\frac{\mp \sqrt{2}}{4}$
$\mp \sqrt{2}$

hint Hint:

Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation

The correct answer is: $fraction numerator negative-or-plus square root of 2 over denominator 4 end fraction$

Step 1 of 1:
We have given a quadratic equation $negative 8 x to the power of 2 end exponent plus 1 equals 0$ .
a = - 8, c = 1
$plus-or-minus fraction numerator open parentheses square root of negative 4 blank cross times blank open parentheses negative 8 close parentheses blank cross times blank 1 end root close parentheses over denominator 2 blank cross times blank minus 8 end fraction equals plus-or-minus fraction numerator 4 square root of 2 over denominator negative 16 end fraction equals fraction numerator negative-or-plus square root of 2 over denominator 4 end fraction$

We know that the quadratic formula is x = [-b±√(b2-4ac)]/2a

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