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4 years ago

5

Which statement about the following equation is true?

2 answers:

Leviafan [203]4 years ago

6 0

<span>1. 3x^2-8x+5=5x^2
2x^2+8x-5

Discriminant = 64+40 = 104 > 0
The answer is 2</span>

Makovka662 [10]4 years ago

3 0

<span>Which statement about the following equation is true?

3x^2-8x+5=5x^2

</span>
<span>2) The discriminant is greater than 0, so there are two real roots.
</span>
Let's solve your equation step-by-step.<span><span><span><span>3<span>x2</span></span>−<span>8x</span></span>+5</span>=<span>5<span>x2</span></span></span>Step 1: Subtract 5x^2 from both sides.<span><span><span><span><span>3<span>x2</span></span>−<span>8x</span></span>+5</span>−<span>5<span>x2</span></span></span>=<span><span>5<span>x2</span></span>−<span>5<span>x2</span></span></span></span><span><span><span><span>−<span>2<span>x2</span></span></span>−<span>8x</span></span>+5</span>=0</span>Step 2: Use quadratic formula with a=-2, b=-8, c=5.<span>x=<span><span><span>−b√</span>±<span><span>b2</span>−<span><span>4a</span>c/</span></span></span><span>2a
</span></span></span><span>x=<span><span><span>−<span>(<span>−8</span>)</span></span>±√<span><span><span>(<span>−8</span>)</span>2</span>−<span><span>4<span>(<span>−2</span>)</span></span><span>(5)/</span></span></span></span><span>2<span>(<span>−2</span>)
</span></span></span></span><span>x=<span><span>8±√104/</span><span>−4
</span></span></span><span><span>x=<span><span>−2</span>+<span><span><span><span><span>−1/</span>2√</span>26</span> or </span>x</span></span></span>=<span><span>−2</span>+<span><span>1/2</span>√26
</span></span></span>
<span><span><span /></span></span>

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Using the vertex of a quadratic function, it is found that:

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Considering the coefficient a, we have that:

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