Without solving the equation, determine the nature of the roots of x2 - 2 x - 8 = 0.

1 answer:

3 0

Evaluate using the discriminant (the part of the quadratic equation under the square root sign) b²-4ac
In your equation, a=1, b=(-2), and c=(-8)...substitute their values into the discriminant:
(-2)²-4(1)(-8)
4+32 = 36

The value is positive, therefore the equation has two real roots.
It's a perfect square (√36=6) so the roots are rational
Answer: two real, rational roots

(If the result was a negative number, the system would have two irrational roots. If the result was zero, the system would have a double root (one value repeated twice - when graphed, the vertex of the parabola falls on the x-axis)∨

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Answer:

The answer is "Option B".

Step-by-step explanation:

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In option D, It is erroneous even as the range is not the mean, and the mean seems to be the average. We search for both the range, not the mean.

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Someone explain it please

Alina [70]

9514 1404 393

Answer:

∠A = 44°

Step-by-step explanation:

In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.

Happily, that relation is "the sum of angles in a triangle is 180°." This means ...

84° +(x +59)° +(x +51)° = 180°

(2x + 194)° = 180° . . . collect terms

2x = -14 . . . . . . . . . . divide by °, and subtract 194

x = -7 . . . . . . . . . . . .divide by 2

Now, the measure of angle A is ...

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X=2y
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multiple the 2y by 2. 4y+5y=9
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divide the 9 out from both sides. y=1
plug the y back into the first equation
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multiply. x=2

your answer is: x=2
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