Which statement best describes why there is no real solution to the quadratic equation y = x^2 - 6x + 13? the value of (-6)2 - 4 • 1 • 13 is a perfect square. the value of (-6)2 - 4 • 1 • 13 is equal to zero. the value of (-6)2 - 4 • 1 • 13 is negative. the value of (-6)2 - 4 • 1 • 13 is positive.

The value of (-6)2 - 4 • 1 • 13 is negative.

Step-by-step explanation:

To solve a quadratic equation we can solve by factoring, graphing or through the quadratic formula. The formula is as follows:

When the square root value is less than 0, a real solution cannot be found. This means when . For the equation, a=1, b=-6 and c=13.

We substitute and simplify.

This gives us an imaginary solution because the value of (-6)2 - 4 • 1 • 13 is negative.

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