Respuesta :
Answer:
8 and 3
Step-by-step explanation:
We first want to add 5 to both sides, making the equation x^2 -11x +24=0, now, we want to use the quadratic formula, which is( -b + sqrt(b^2 -4ac)) /2a
for equations of the form ax^2 + bx +c, so in our case, a =1, b= -11, and c=24,
when you plug in the variables, you will get the answers! :)
Answer:
x = 3 and x = 8 are the solutions
Step-by-step explanation:
Step 1: Set the equation equal to zero
For this question, it is done by adding 5 to both sides
x² - 11x + 19 + 5 = -5 + 5
x² - 11x + 24 = 0
Step 2: Factor the equation
Think about what two numbers add up to -11 and multiply to 24...
they are -3 and -8, so those are our factors...
(x - 3)(x - 8) = 0
Step 3: Set each factor equal to zero and solve
x - 3 = 0, so add three to both sides to isolate x
x - 3 + 3 = 0 + 3
x = 3
x - 8 = 0, so add eight to both sides to isolate x
x - 8 + 8 = 0 + 8
x = 8
