Explanation :
To find the quadratic equation with a leading coefficient of 8 and solutions -10 and 7/8, we can use the factored form of a quadratic equation:
(x - r1)(x - r2) = 0
where r1 and r2 are the roots/solutions.
Substituting the given solutions, we have:
(x + 10)(x - 7/8) = 0
Expanding the equation and multiplying through by 8 to maintain the leading coefficient of 8, we get:
8(x + 10)(x - 7/8) = 0
8x(x - 7/8) + 8(10)(x - 7/8) = 0
8x(x - 7/8) + 80(x - 7/8) = 0
8x² - 7x + 80x - 70 = 0
8x² + 73x - 70 = 0
Therefore, the quadratic equation with a leading coefficient of 8 and solutions -10 and 7/8 is:
Answer : 8x² + 73x - 70 = 0