For the following equation: 2x^2 -3x + 7 = 0 (1) Calculate the discriminant
(2) Determine the number and type of solutions
(3) Use the quadratic formula to solve

Part 1)

Part 2)

Since our discriminant is negative, we will have two complex (imaginary) solutions.

Part 3)

Step-by-step explanation:

We have the equation:

Labelling our coefficients, we see that:

Part 1)

The discriminant (symbolized as Δ) is given by the formula:

So, the value of our discriminant is:

Evaluate:

Part 2)

Remember the guidelines for the discriminant:

Since our discriminant is a negative value, we will have two complex (imaginary) roots.

Part C)

The quadratic formula is given by:

By substitution:

Evaluate:

Simplify the square root:

Therefore:

Hence, our two zeros are:

And in standard form:

the discriminant is b squared - 4 (a) (c) where a = 2, b = -3, and c = 7

after plugging in, the discrimimant is -47

if the discriminant is negative then it has no 'real' roots (the graph will not intersect the x-axis) but it has 2 solutions:  (3+47i)/2 and (3-47i)/2 where 47i equals the square root of negative 47

Step-by-step explanation:

step-by-step explanation:

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