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sertanlavr [38]

4 years ago

14

6b < 24 or 4b + 12 > 4

1 answer:

Neporo4naja [7]4 years ago

6 0

- 2 < b < 4 i belive

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Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double

jenyasd209 [6]

Given:

$x^2+kx-98=0$

One of the two roots of the given equation is double the additive inverse of the other.

To find:

The value of k.

Solution:

Let two roots of the given equation are $\alpha$ and $\beta$ .

According to the question,

$\beta=2(-\alpha)$ (Additive inverse of $\alpha$ is $-\alpha$ )

$\beta=-2\alpha$

If $\alpha$ and $\beta$ are roots of the quadratic equation $ax^2+bx+c=0,$ then

$\alpha+\beta=-\dfrac{b}{a}$

$\alpha\beta=\dfrac{c}{a}$

We have,

$x^2+kx-98=0$

Here, a =1, b=k and c=-98.

$\alpha+\beta=-\dfrac{k}{1}$

$\alpha-2\alpha=-k$ $[\because \beta=-2\alpha]$

$-\alpha=-k$

$\alpha=k$ ...(i)

Now,

$\alpha\beta=\dfrac{c}{a}$

$\alpha(-2\alpha)=\dfrac{-98}{1}$ $[\because \beta=-2\alpha]$

$-2\alpha^2=-98$

Divide both sides by -2.

$\alpha^2=49$

Taking square root on both sides.

$\alpha=\pm \sqrt{49}$

$\alpha=\pm 7$

Using (i), we get

$k=\pm 7$

Therefore, the value of k is either -1 or 1.

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A car traveled 212 km in 5 hours what was the cars average speed

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Answer:

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Step-by-step explanation:

5÷212= 42.4mph (average speed)

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Simplify the following expression square root of -104 and the square root of -8

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Do -104 negitiive 8 times.then you will have it.

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The multiplication table below can be used to find equivalent ratios.

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Write the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2 in simplest form. Then, answer the following questions using complete

mart [117]

Combine like terms
assuming those 2s are exponents

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move all x's together all y's together and all xy's together

-3x^2+5x^2+2y^2-3y^2+5xy
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3 terms
1 term is negative

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