Answer:
a = 5 ; a = 2
Explanation:
solve for a from the given equation: 7a - 6 = a² + 4
a² - 7a + 10 = 0
the equation can be solved using quadratic equation: ax² + bx + c = 0
x₁,₂ = - b ± √(b² - 4ac)
2a
where a = 1
b = -7
c = 10
now, plug in values into the formula:
a₁,₂ = - (-7) ± √(-7² - 4(1)10)
2(1)
a₁ = 7 + 3 = 10 = 5
2 2
a₂ = 7 - 3 = 4 = 2
2 2
therefore, the answer to the equation is:
a = 5 ; a = 2