Question

Harry is trying to solve the equation y = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps below. Find the step where Harry went wrong. (1 point)

Step 1: x equals the negative of negative 1 plus or minus the square root of the quantity negative one squared minus 4 times 2 times negative six, end quantity, all over 2 times 2.

Step 2: x equals the negative of negative 1 plus or minus the square root of negative one plus forty-eight all over two times 2.

Step 3: x equals the negative of negative 1 plus or minus the square root of forty-seven all over two times 2.

Step 4: x equals 1 plus or minus the square root of forty-seven all over 4.

Step 1
Step 2
Step 3
Step 4

Answer 1

step 1



https://us-static.z-dn.net/files/dc7/399cf99768b877ed4ebfc8aafd015e98.jpg

step 2



https://us-static.z-dn.net/files/d84/4458e5745252c404961db91718d4eb51.jpg

step 3



https://us-static.z-dn.net/files/d43/94a47662925b13c15a0e735bfeed787b.jpg

step 4



https://us-static.z-dn.net/files/db2/0e8b43b3f49142c3a5b59a6179a99938.jpg

Answer 2

thoughts?

as a reminder, the quadratic formula is:

\[\frac{ -b±\sqrt{b^{2}-4ac} }{ 2a }\]

where a, b, and c correspond to ax^2 + bx + c

in your case, since the equation is 2x^2 - x - 6, a = 2, b = -1, c = -6

substitute these into the equation, and follow along with his steps. as a hint, he made a sign error somewhere