Respuesta :

If 1 = 2x²  +  7x 

then 2x²  +  7x  -  1  =  0

From that equation, b = 7, a = 2  and c = - 1

∴ b² - 4ac  =  (7)²  - 4 (2) (-1)
                 = 49 + 8
                 =  57

∴  The equation has two real roots

Answer:

The general form of quadratic equation is 2x² + 7x - 1 = 0 and value of  b² - 4ac is 57 .

Step-by-step explanation:

The standard form of quadratic equation is  ax² + bx + c = 0

Where  a, b, and c being constants, or numerical coefficients  and x is an variable.

As given the expression

1 = 2x2 + 7x

Simplify the above

2x² + 7x - 1 = 0

This is general form of quadratic equation .

a = 2 , b = 7 , c = -1

Putting all these values in the formula

= b² - 4ac

= 7 × 7 - 4 × 2 × -1

= 49 + 8

= 57

Therefore the general form of quadratic equation is 2x² + 7x - 1 = 0 and value of  b² - 4ac is 57 .

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