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This question is for the redesigned SAT, which is for you, if you are taking the SAT in March 2016 and beyond.

Solve Quadratic Equation 5

Calculator usage: No calculator

If a

There are a few ways to solve this problem.

The quickest way would be if you recognizes that adding 49 to both sides of the equation will get you a perfect square on both sides. Complete the Square method

a

a

(a + 7)

a + 7 = ± 10

Since it is given that a > 0, we choose a + 7 = 10.

We can also use factoring. Factoring method

a

a

(a + 17)(a - 3)= 0

(You need to see that 3 and 17 are factors of 51 that differ by 14) a = -17 or a = 3

Since it is given that a > 0, we choose a = 3. The answer is a + 7 = 10.

We can also use the quadratic formula, but it will take the longest time to solve. Quadratic Formula

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