What is the discriminant of 3x^2-8x+5=5x^2
1 answer:
Move all terms to the left side of the equation and simplify.
<span><span><span><span><span><span>−2</span><span>x2</span></span><span><span>−8</span>x</span></span>+5</span>=0</span><span><span><span><span><span>-2</span><span>x2</span></span><span><span>-8</span>x</span></span>+5</span>=0
</span></span>The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
<span><span><span>b2</span><span><span>−4</span><span>(<span>ac</span>)</span></span></span><span><span>b2</span><span><span>-4</span><span>ac
</span></span></span></span>Substitute in the values of <span>aa</span>, <span>bb</span>, and <span>cc</span>.
<span><span><span><span>(<span>−8</span>)</span>2</span><span><span>−4</span><span>(<span><span>−2</span>⋅5</span>)</span></span></span><span><span><span>-8</span>2</span><span><span>-4</span><span><span>-2</span>⋅5
</span></span></span></span>Evaluate the result to find the discriminant.\
<span>104</span>
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