What is the value of the discriminant of x2+5x=−6 ? How many real solutions does the equation have?(A) The discriminant is 49 and the equation has two real solutions.(B) The discriminant is 1 and the equation has two real solutions.(C) The discriminant is 1 and the equation has one real solution.(D) The discriminant is 0 and the equation has one real solution.
Q. What is the value of the discriminant of x2+5x=−6 ? How many real solutions does the equation have?(A) The discriminant is 49 and the equation has two real solutions.(B) The discriminant is 1 and the equation has two real solutions.(C) The discriminant is 1 and the equation has one real solution.(D) The discriminant is 0 and the equation has one real solution.
Rewrite equation: First, rewrite the equation in standard form: x2+5x+6=0.
Calculate discriminant: Next, calculate the discriminant using the formula Δ=b2−4ac, where a=1, b=5, and c=6.
Plug in values: Plugging in the values, Δ=(5)2−4⋅1⋅6=25−24=1.
Determine solutions: Since the discriminant Δ=1, which is greater than 0, the equation has two distinct real solutions.