Question

When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a

Answer 1

r = 105

Explanation:

Given quadratic equation:

x² − 9x − 6

Quadratic formula is given by:

(-b ± √b² - 4ac) ÷ 2a

For the equation: x² - 9x - 6

a = 1, b = -9 and c = -6

Substitute in the quadratic formula:

(-b ± √b² - 4ac) ÷ 2a

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2

Therefore, the value of r is 105