draw the graph of a quadratic equation with two distinct real roots
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b^2-4ac>0 is the formula
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the graph of a quadratic equation with two distinct real roots is given by,
The condition for a quadratic equation to have two distinct roots is:
the discriminant D = b² - 4ac
D > 0
b² - 4ac > 0
b² > 4ac
we need to select a, b and c such that, they satisfy the above condition.
let us consider,
a = 1, c = 3 and b = -4
(-4)² > 4 × 1 × 3
16 > 12
as these values satisfy the condition, we get,
ax² + bx + c = 0
x² - 4x + 3 = 0
x² - x - 3x + 3 = 0
x (x - 1) - 3 (x - 1) = 0
(x - 1) (x - 3) = 0
x = 1, 3
The curve of quadratic equation intersects the x-axis at x = 1 and x = 3.
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