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larisa [96]
3 years ago
12

Solve x2 + 6x + 7 = 0. (2 points)

Mathematics
1 answer:
Alexandra [31]3 years ago
8 0

Option C: $x=-3 \pm\sqrt{2}

Solution:

Given equation is x^{2}+6 x+7=0.

This is a quadratic equation.

Here a = 1, b = 6, c = 7

To solve the given equation by quadratic formula,

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Substitute the given values in the quadratic formula, we get

$x=\frac{-6 \pm \sqrt{6^{2}-4 (1) (7)}}{2 (1)}

$x=\frac{-6 \pm \sqrt{36-28}}{2 }

$x=\frac{-6 \pm \sqrt{8}}{2 }

$x=\frac{-6 \pm2 \sqrt{2}}{2 }

$x=\frac{2(-3 \pm\sqrt{2})}{2 }

2 in the numerator and denominator are cancelled.

$x=-3 \pm\sqrt{2}

Option C is the correct answer.

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How do I write the sum of 6x and 2x is at least 39 ?
tatiyna
<h2>Put x = \dfrac{39}{8} I write the sum of 6x and 2x is at least 39 .</h2>

Step-by-step explanation:

We have,,

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To find, the value of x = ?

According to question,

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∴ 6x + 2x = 39

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Multiples of 8: 8, 16, 24, 32, 40, 48, 56...

When you compare the two lists of multiples, you can see that the number 24 is the lowest number that is a multiple of both 3 and 8, so it is their LCM, or least common multiple.


<em>HOPE THAT HELPS!!!!</em>

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