Question

20 POINTS!!!!! NEED ASAP

Which numbers are solutions of 7a−6=a2+4
Choose exactly two answers that are correct.

2

5

7

10

Answer 1

I think The answer is 2

Answer 2

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