Nature of roots and Sum and Product of the roots

Which of the following is the formula in finding the discriminant?

• $4ac\ -\ b^2$
  

• $\sqrt{b^2\ -\ 4ac}$

• $b^2\ -\ 4ac$

• $\sqrt{4ac\ -\ b^2}$

What is the value of the discriminant in

 $5x^2\ -\ 7x\ -\ 2\ =\ 0?$  

• 9

• 89

• -89

• 0

Without solving the equation   $3x^2\ -\ 4x\ +\ 2\ =\ 0$ , what is the sum of the roots?

•  $\frac{-4}{3}$  

•  $\frac{-2}{3}$  

•  $\frac{4}{3}$  

•  $\frac{2}{3}$  

 How many solutions does the equation   $4x^2\ -12x\ +\ 9\ =\ 0\$  have?

• 1 real solution

• no real solutions

• 2 real solutions

• 3 real solutions

What is the value of the discriminant in 

 $$6x^2+x-15=0?$$ 

 

• 360

• -361

• 361

• -359

Find the value of k so that the equation $kx^2\ -\ 24x\ +\ 16\ =\ 0$  has one real root.

• -9

• 9

• 18

• -18

Without solving the equation $9x\ -\ 5\ =\ 3x^2$  give the sum and product of the roots.

• sum = 3, product =  $\frac{5}{3}$  

• sum = -3, product =  $\frac{5}{3}$  

• sum = -3 , product =  $\frac{-5}{3}$  

• sum = 3, product =  $\frac{-5}{3}$  

Write the quadratic equations whose roots have the given sum and product, sum = - 8, product = 5.

• $x^2\ +8x\ +\ 5\ =\ 0$

• $x^2\ -\ 8x\ -\ 5\ =\ 0$

• $x^2\ -\ 8x\ +\ 5\ =\ 0$

• $x^2\ +\ 5x\ -\ 8\ =\ 0$

Write  $\sqrt{-75}$  in the i - form

•  $-3i\sqrt{5}$  

•  $5i\sqrt{3}$  

•  $3i\ \sqrt{5}$  

•  $-5i\sqrt{3}$  

Find the sum of (7 + 6i) + (11 + 10i)

• 18 + 16i

• 27 + 17i

• 4 + 16i

• 17 + 17i