Question

57

Answer 1

ok... do you know how to use the discriminant

Answer 2

ok... its

\[\Delta = b^2 - 4ac\]

have you seen it

Answer 3

that's what you need to answer the questions....

there are a number of conditions depending on the value of the discriminant

so here is the theory

for a quadratic

\[ax^2 + bx + c = 0\]

the discriminant is

\[\Delta = b^2 - 4ac\]

the conditions

\[\Delta > 0\] The solutions or roots are real... if the answer is a square number like 4 or 25 the roots of the real and rational

if the answer is anything else, lik 17 or 8 the roots are real and irrational

\[\Delta = 0\]

in this case the quadratic is a perfect square, and has 1 repeated root.

\[\Delta < 0\] the roots are non real numbers, or complex numbers

hope it helps

Answer 4

so in you 1st question

a = 1, b = 6 and c = -16

calculate the value of the discriminant and the look at the conditions to determine the type.

in the 2nd question a = 1, b = 6 and c = 1

same process...

Answer 5

the discriminant is part of the general quadratic formula.

Answer 6

for the 2nd part of the question you need to solve them

the 1st question can be factored


the 2nd question needs the general quadratic formula

Answer 7

here is a site that explains it

http://regentsprep.org/regents/math/algtrig/ate3/discriminant.htm

reading the question, it appears all the information was in the course notes.

Answer 8

ok....good luck

Answer 9

so you have a solution, whch you don't understand... that's fine