How do you factor and solve #x^2+4x-3=0#?
It doesn't factorise but it can still be solved, for example : By completing the square.
So let's complete the square.
Now lets solve:
Therefore X has been solved
By signing up, you agree to our Terms of Service and Privacy Policy
To factor and solve the quadratic equation (x^2 + 4x - 3 = 0), you can use the quadratic formula or factorization method.
Using the quadratic formula: [x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}] Where (a = 1), (b = 4), and (c = -3).
[x = \frac{{-4 \pm \sqrt{{4^2 - 4(1)(-3)}}}}{{2(1)}}] [x = \frac{{-4 \pm \sqrt{{16 + 12}}}}{{2}}] [x = \frac{{-4 \pm \sqrt{{28}}}}{{2}}] [x = \frac{{-4 \pm \sqrt{{4 \cdot 7}}}}{{2}}] [x = \frac{{-4 \pm 2\sqrt{7}}}{{2}}]
[x = -2 \pm \sqrt{7}]
So, the solutions are (x = -2 + \sqrt{7}) and (x = -2 - \sqrt{7}).
Alternatively, you can factor the quadratic expression: [x^2 + 4x - 3 = 0] [(x + 3)(x - 1) = 0]
Setting each factor equal to zero: (x + 3 = 0 \Rightarrow x = -3) (x - 1 = 0 \Rightarrow x = 1)
Therefore, the solutions are (x = -3) and (x = 1).
By signing up, you agree to our Terms of Service and Privacy Policy
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.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7