Choosing the correct statements about an equation
This question concerns the equation
3x^2- 4x- 5=0
Choose the two correct statements about this equation
Options.
A. The equation has no real-number solutions.
B. The equation has one real-number solution.
C. The equation has two solutions x= - 0.7863 and x= 2.120 correct to 4 significant figures.
D. The equation has two solutions, x= -2.120 and x= -2.547 correct to 4 significant figures.
E. The equation has two solutions, x= -5.453 and x= -2.547 correct to 4 significant figures.
F. The equation has two solutions, x= 2.547 and x=5.453 to 4 significant figures.
G. The solutions of this equation (if any) are the values of x where the graph of y=3x^2-4x-5 cuts the x-axis (if at all).
H. The solutions of this equation are the values of x where the graph of y=3x^2-4x-5 takes its minimum value.
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SOLUTION This solution is FREE courtesy of BrainMass!
3x^2 - 4x - 5 = 0.....this is a quadratic equation of form ax^2 + bx + c = 0.
a = 3
b = -4
c -5
Solutions are given by x = (-b + SQRT ( b^2 - 4ac))/2a and x = (-b - SQRT ( b^2 - 4ac))/2a
So we have x= -0.7863 and 2.120
So statement C and G are correct ( G is correct because the solution is where Y = 0 and Y will be 0 where ever it cuts the x axis)
© BrainMass Inc. brainmass.com December 24, 2021, 4:46 pm ad1c9bdddf>https://brainmass.com/math/algebra/choosing-correct-statements-equation-6697