How do you use the quadratic formula to find both solutions to the quadratic equation #2x^2+3x-5=0#?

Answer 1

Solve#y = 2x^2 + 3x - 5 = 0#

In this case (a + b + c = 0), you don't need using the formula. Use the shortcut. One real root is (1) and the other is (c/a = -5/2)

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To use the quadratic formula to find both solutions to the quadratic equation 2x^2 + 3x - 5 = 0, you first identify the coefficients a, b, and c in the general form of the quadratic equation (ax^2 + bx + c = 0). Then, substitute these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For the equation 2x^2 + 3x - 5 = 0:

a = 2 b = 3 c = -5

Substitute these values into the quadratic formula:

x = (-(3) ± √((3)^2 - 4(2)(-5))) / (2(2))

Simplify under the square root:

= (-(3) ± √(9 + 40)) / (4)

= (-(3) ± √49) / (4)

= (-(3) ± 7) / (4)

Now, you have two possible solutions:

  1. x = (-3 + 7) / 4 = 4 / 4 = 1
  2. x = (-3 - 7) / 4 = -10 / 4 = -5/2

So, the solutions to the quadratic equation 2x^2 + 3x - 5 = 0 are x = 1 and x = -5/2.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7