Question

*The product of the roots of the quadratic equation 2x² + 5x – 7 = 0 is ………….*

1️⃣ 5/2
2️⃣ -7/2
3️⃣ -5/2
4️⃣ 7/2​

Answer 1

Answer:

option 2

Step-by-step explanation:

2x^2+5x-7=0

2x^2 -2x +7x -7 =0

2x (x-1) +7(x-1) =0

(x-1) (2x+7) =0

x=1 ; 2x+7=0 2x= -7

x= -7/2

Answer 2

The product of the roots of the quadratic equation 2x² + 5x – 7 = 0 is -7/2.

Calculations:

• Solving the quadratic equation:

             2x² + 5x – 7 = 0

          = 2x² -2x +7x -7 =0

          = 2x(x -1) +7(x -1) =0

          = (2x+7) (x-1) =0

          = 2x +7 =0         or        x-1 =0

          = x = -7/2          or        x = 1

• Product of the roots

       -7/2   x 1  = -7/2

The roots are -7/2 and 1 and the product is -7/2.

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