Question

find the value of discriminant
x² + 7x - 1 = 0​

Answer 1

Given

The quadratic equation is

• x² + 7x - 1 = 0

To Find

• The value of discriminant

Solution

We know if ax² + bx + c = 0 is a quadratic equation then its discriminant is given by b² - 4ac

Thus , discriminant of the given equation is :

$\sf \longrightarrow7 {}^{2} - 4 \times 1\times ( - 1) \\ \\ \sf \longrightarrow49 + 4 \\ \\ \sf \longrightarrow53$

Thus it's discriminant is 53

The roots of the given equation are real since discriminant is greater than 0 (b² - 4ac > 0)

Answer 2

Step-by-step explanation:

Given

The quadratic equation is

x² + 7x - 1 = 0

To Find

The value of discriminant

Solution

We know if ax² + bx + c = 0 is a quadratic equation then its discriminant is given by b² - 4ac

Thus , discriminant of the given equation is :

\begin{lgathered}\sf \longrightarrow7 {}^{2} - 4 \times 1\times ( - 1) \\ \\ \sf \longrightarrow49 + 4 \\ \\ \sf \longrightarrow53\end{lgathered}

⟶7

2

−4×1×(−1)

⟶49+4

⟶53

Thus it's discriminant is 53

The roots of the given equation are real since discriminant is greater than 0 (b² - 4ac > 0)