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max2010maxim [7]
3 years ago
5

Solve please 4x^2+2x-10=0

Mathematics
2 answers:
Neko [114]3 years ago
6 0

For this case we must solve a quadratic equation of the form ax ^ 2 + bx + c = 0, where its roots are given by:

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

If we have the following equation:

4x ^ 2 + 2x-10 =0

So:

a = 4\\b = 2\\c = -10

Substituting we have:

x = \frac {-2 \pm \sqrt {2 ^ 2-4 (4) (- 10)}} {2 (4)}\\x = \frac {-2 \pm \sqrt {4 + 160}} {8}\\x = \frac {-2 \pm \sqrt {164}} {8}\\x = \frac {-2} {8} \pm \frac {\sqrt {164}} {8}\\x = \frac {-1} {4} \pm \frac {12.81} {8}

So, we have:

x_ {1} = - 0.25 + 1.60 = 1.35\\x_ {2} = - 0.25-1.60 = -1.85

Answer:

The roots of the given equation are:

x_ {1} = - 0.25 + 1.60 = 1.35\\x_ {2} = - 0.25-1.60 = -1.85

natali 33 [55]3 years ago
4 0

Answer:

4x^2+2x=10

Step-by-step explanation:

you need to add the ten to both sides to get it away, and then you can't do any thing to the 4x^2 or the 2x

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