How do you find the zeros, if any, of #y= -x^2 -3x +17 #using the quadratic formula?
Let's apply the quadratic formula:
By signing up, you agree to our Terms of Service and Privacy Policy
To find the zeros of the quadratic function ( y = -x^2 - 3x + 17 ) using the quadratic formula:
- Identify the coefficients ( a = -1 ), ( b = -3 ), and ( c = 17 ).
- Substitute these values into the quadratic formula: ( x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} ).
- Calculate the discriminant, ( b^2 - 4ac ).
- If the discriminant is positive, there are two real roots. If it's zero, there's one real root (a repeated root). If it's negative, there are no real roots (two complex roots).
- Substitute the values of ( a ), ( b ), and ( c ) into the quadratic formula and solve for ( x ).
The quadratic formula is:
[ x = \frac{{-(-3) \pm \sqrt{{(-3)^2 - 4(-1)(17)}}}}{{2(-1)}} ]
[ x = \frac{{3 \pm \sqrt{{9 + 68}}}}{{-2}} ]
[ x = \frac{{3 \pm \sqrt{{77}}}}{{-2}} ]
Therefore, the zeros of the function are:
[ x = \frac{{3 + \sqrt{{77}}}}{{-2}} ] and [ x = \frac{{3 - \sqrt{{77}}}}{{-2}} ]
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.
- How do you write a quadratic function in standard form whose graph passes through points (-1,-2), (1,-4), (2,1)?
- How do you solve the equation by graphing #x^2 - 5x - 24 = 0#?
- How do you find the x and y intercepts for #y=x^2+6x-5#?
- How do you find the vertex and intercepts for #y=-x^2+2x+3#?
- How do you solve #-3x^2 - 5 = 22#?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7