Use the quadratic formula to solve the equation.x2 – 7x – 6 = 0

Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a),
where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

Here, the coefficients are:
a = 1, b = -7, and c = -6.

Using the quadratic formula:

x = (-(-7) ± √((-7)^2 - 4(1)(-6))) / (2(1))
= (7 ± √(49 + 24)) / 2
= (7 ± √73) / 2

Therefore, the solutions to the equation x^2 – 7x – 6 = 0 are:
x = (7 + √73) / 2
x = (7 - √73) / 2

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