Determine the type and number of solutions of −4x2 − 3x + 7 = 0.
1 answer:
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is , then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
You might be interested in
An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of x in the given equation can be written as,
Hence, the value of x is the equation ax-b=c is (c+b)/(a).
Learn more about Equation:
#SPJ1