Question

Use the discriminant to determine the number of solutions to the quadratic equation 3x^2 + 5x = - 1?

Answer 1

Step-by-step explanation:

we know

D = b^2 - 4ac -------- (1)

also, 3x^2 + 5x = -1

3x ^2 + 5x + 1 = 0

let a = 3 , b = 5 & c = 1

therefore , by using equation 1

D = 5^2 - 4 ( 3 * 1 )

= 25 - 12

= 13

since the value of D >0

therefore the number of solutions will be two

Answer 2

Answer:

Step-by-step explanation:

Given :

3x² + 5x = -1

3x² + 5x + 1 = 0

To find :

Roots of the quadratic equation.

Solution :

3x² + 5x + 1 = 0

>> ax² + bx + c = 0

• a = 3
• b = 5
• c = 1

>> Discriminant:

• b² - 4ac

=> 5² - 4(3)(1)

=> 25 - 12

=> 13

∴ D > 0, roots are real, irrational and distinct and two solutions.

Learn more :

>> If D > 0, (perfect square), roots are real, rational and distinct.

>> D < 0, roots are imaginary and distinct.

>> D = 0, roots are real and equal.