It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic equation ax2 + bx + c = 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete example of the usefulness of abstract symbolic manipulation), the computations involved are often a bit beyond the average student at this point.
Answer:
14, 22
Step-by-step explanation:
x+y = 36
2×x - y = 6
=> x = 36 - y
=> 2×(36 - y) - y = 6
72 - 2y - y = 6
-3y = -66
3y = 66
y = 22
=> x = 36 - 22 = 14
Answer:
For an inground pool, a patio area ranges between $3 and $40 per square foot. That wide range depends largely on the materials you use to build the space.
Para una piscina enterrada, el área de un patio varía entre $ 3 y $ 40 por pie cuadrado. Esa amplia gama depende en gran medida de los materiales que utilice para construir el espacio.
Step-by-step explanation:
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Hello :
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a <span>≠ 0) is :
</span><span>Δ = b² -4ac
1 ) </span>Δ > 0 the equation has two reals solutions : x = (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ <span>< 0 : no reals solutions</span>
Answer:
Step-by-step explanation:
we have
Solve for a
That means ----> Isolate the variable a
Factor 3 in the numerator right side
Simplify right side
subtract a both sides
subtract 1 both sides
Rewrite
