Solve the equation 2, x, squared, plus, 2, x, minus, 6, equals, x, squared2x 2 +2x−6=x 2 to the nearest tenth.
Question
Solve the equation
to the nearest tenth.
Solution
The equation seems to be written in a confusing way. However, I believe you're trying to solve the quadratic equation 2x^2 + 2x - 6 = x^2. Here are the steps to solve it:
Step 1: Simplify the equation Subtract x^2 from both sides to get: 2x^2 - x^2 + 2x - 6 = 0 This simplifies to: x^2 + 2x - 6 = 0
Step 2: Factor the equation The factors of -6 that add up to 2 are 3 and -2. So, the factored form of the equation is: (x + 3)(x - 2) = 0
Step 3: Solve for x Set each factor equal to zero and solve for x: x + 3 = 0 --> x = -3 x - 2 = 0 --> x = 2
So, the solutions to the equation are x = -3 and x = 2.
Similar Questions
Solve the equation 2, x, squared, plus, 2, x, minus, 6, equals, x, squared2x 2 +2x−6=x 2 to the nearest tenth.
Solve the equation 2, x, squared, minus, 19, x, plus, 2, equals, minus, 10, x2x 2 −19x+2=−10x to the nearest tenth.
Use the quadratic formula to solve for x.=+2x27x6Round your answer to the nearest hundredth.If there is more than one solution, separate them with commas.=x
Use the quadratic formula to solve. Express your answer in simplest form.6, x, squared, minus, 5, x, minus, 2, equals, minus, 6, x, squared6x 2 −5x−2=−6x 2
Solve for all values of xx by factoring.x, squared, minus, 6, x, equals, 2, xx 2 −6x=2x
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.