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Question

Please solve" x^2 -7x+6 "  by quadratic formula.


Solution

The quadratic formula states that for a quadratic equation ax2+bx+c, its roots, x can be computed as x=−b±√b2−4ac2a

Consider the quadratic equation x2−7x−6=0. It has coefficients a=1, b=−7 and c=−6. To solve for x, we plug these numbers into the quadratic formula.

x=−(−7)±√(−7)2−4(1)(−6)2(1)
x=7±√732

Hence, x=7+√732 or x=7−√732

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