Precalculus Examples

$- x^{2} + 1 x - 7 = 0$

Step 1

Simplify the left side.

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Step 1.1

Multiply $x$ by $1$ .

$- x^{2} + x - 7 = 0$

Step 2

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Step 3

Substitute in the values of $a$ , $b$ , and $c$ .

$1^{2} - 4 (- - 7)$

Step 4

Evaluate the result to find the discriminant.

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Step 4.1

Simplify each term.

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Step 4.1.1

One to any power is one.

$1 - 4 (- - 7)$

Step 4.1.2

Multiply $- 4 (- - 7)$ .

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Step 4.1.2.1

Multiply $- 1$ by $- 7$ .

$1 - 4 \cdot 7$

Step 4.1.2.2

Multiply $- 4$ by $7$ .

$1 - 28$

Step 4.2

Subtract $28$ from $1$ .

$- 27$