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Answer:

the b value is -8, i just had this problem in my hw, and the value is -8 because the value of c will be equal to -b x a; it seems the other guy forgot the negative.

Step-by-step explanation:

We want to determine one coefficient in a quadratic equation given that we know one of the roots of the quadratic equation.

The value of b is -8.

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We know that for a quadratic equation:

a*x^2 + b*x + c

The roots are the values of x such that:

a*x^2 + b*x + c = 0.

Here we have the equation:

2*x^2 + b*x - 10 = 0

And we know that 5 is a root of this equation, then we can write:

2*5^2 + b*5 - 10 = 0

Now we can solve this for b:

2*25 + b*5 - 10 = 0

50 + b*5 - 10 = 0

b*5 = -50 + 10 = -40

b = -40/5 = -8

b = -8

Then the quadratic equation is:

2*x^2 - 8*x - 10 = 0.

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