It is known that in an isosceles triangle ABC, the length of one side is 10, and the length of the other two sides is a quadratic equation of one variable with respect to X It is known that in the isosceles triangle ABC, the length of one side is 10, and the length of the other two sides is the two roots of the quadratic equation x ^ 2 - 18x + M = 0 with respect to X. the value of M is obtained

It is known that in an isosceles triangle ABC, the length of one side is 10, and the length of the other two sides is a quadratic equation of one variable with respect to X It is known that in the isosceles triangle ABC, the length of one side is 10, and the length of the other two sides is the two roots of the quadratic equation x ^ 2 - 18x + M = 0 with respect to X. the value of M is obtained

It is an isosceles triangle. If we know the base, then the other two sides are equal, that is, the equation has two equal roots,
B square-4ac = 0, that is: (- 18) square-4 × M = 0, M = 81
The three sides of a triangle are: 10, 9, 9
If the waist is known, then one of the other two sides is also equal to 10, that is, one root of the equation should be equal to 10, and 10 should be substituted into the equation,
100-180 + M = 0, M = 80,
Substitute m into the equation: the solution is x = 10 or x = 8
The three sides of a triangle are 10, 10 and 8