Answer
14cm
Step-by-step explanation:
Answer:
5 − 15
Step-by-step explanation: Distribute: 3(−5)+ 2 , 3 − 15 + 2
Combine the like terms: 3 − 15 + 2 5 − 15
hope that helped
Taking into account the discriminant of a cuadratic function, values of c less than
cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
<h3>Discriminant of a cuadratic function</h3>
The function f(x) = ax² + bx + c with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
The following expression is called discriminant:
Δ= b²- 4×a×c
The discriminant determines the amount of roots of the function. The roots are those values of x for which the expression is 0, so it graphically cuts the x-axis.
Then:
- If Δ <0 the function has no real roots and its graph does not intersect the x-axis.
- If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .
- If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.
<h3>Value of c</h3>
In this case, for the quadratic equation -x²+3x+c=0 you know:
If the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0
Substituting the corresponding values, you get:
3²- 4×(-1)×c < 0
Solving:
9 + 4×c < 0
4×c < -9
c< (-9)÷4
c< ![-\frac{9}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B9%7D%7B4%7D)
Finally, values of c less than
cause the quadratic equation -x²+3x+c=0 to have no real number solutions.
Learn more about the discriminant of a cuadratic function:
brainly.com/question/14477557
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