Write and solve an equation
2 answers:
Answer: b = -6
Step-by-step explanation: The equation is attached in the image provided.
In this problem, since the variable <em>b</em> appears on both sides of the equation, we want to get the b's on one side and the number on the other.
The easiest way to do that is by subtracting 3b from both sides which gives us 8b = -48. Now just divide both sides by 8 and b = -6.
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A graph of the equation shows the appropriate choice to be
C. 2
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If you would rather, you can look at the value of the discriminant. For the equation y = ax²+bx+c, the discriminant (d) is
d = b²-4ac
For your equation, this evaluates to
d = (-8)²-4(2)(5) = 64 -40 = 24
When the discriminant is positive, the function has two real roots (2 x-intercepts). When it is zero, there is only one x-intercept, and when it is negative, there are none (the roots are complex).
C. 2
_____
If you would rather, you can look at the value of the discriminant. For the equation y = ax²+bx+c, the discriminant (d) is
d = b²-4ac
For your equation, this evaluates to
d = (-8)²-4(2)(5) = 64 -40 = 24
When the discriminant is positive, the function has two real roots (2 x-intercepts). When it is zero, there is only one x-intercept, and when it is negative, there are none (the roots are complex).