Question

Suppose you are a solving a quadratic equation using the quadratic formula and this is your work so far:%0D%0A%0D%0A 2x2+7x−15=0%0D%0A%0D%0A%0D%0A%0D%0Ax=%0D%0A−7 ±72−42−15%0D%0A22%E2%80%8B%0D%0A%0D%0A%0D%0A%0D%0Ax=%0D%0A−7 ±???%0D%0A4%E2%80%8B👈%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AWhat number goes in place of ???

Answer 1

thats not it

Answer 2

In place of ???, you would put the square root of 72, which simplifies to 6√2. So the correct answer would be:

x = (-7 ± 6√2) / 4.

Answer 3

Apologies for the mistake in my previous response. Let's correct it:

For the equation: 2x^2 + 7x - 15 = 0

The quadratic formula is:
x = [-b ± √(b^2 - 4ac)] / 2a

In this case, a = 2, b = 7, and c = -15.

Calculate the discriminant, b^2 - 4ac:
7^2 - 4*2*(-15) = 49 + 120 = 169

So, x = (-7 ± √169) / 4

x = (-7 ± 13) / 4

Thus, the solutions are:
x = (6 / 4) = 1.5 or x = (-20 / 4) = -5