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
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 .