Question

1. find the discriminant. $5v^2 = -7v$ 2) how many real solutions does the equation have? no real solutions one real solution two real solutions

Explanation:

Step1: Rewrite to standard quadratic form

$5v^2 +7v =0$

Step2: Identify coefficients $a,b,c$

$a=5$, $b=7$, $c=0$

Step3: Calculate discriminant

$\Delta = b^2 -4ac = 7^2 -4(5)(0) = 49$

Step4: Analyze discriminant sign

Since $\Delta=49>0$, there are two real solutions.

Answer:

Discriminant: $49$
Number of real solutions: two real solutions