solve the quadratic equation y=-x2-5x+12
Answers
Answer:
Use the quadratic formula to find the solutions.
−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=1a=1, b=5b=5, and c=−12c=-12 into the quadratic formula and solve for xx.
−5±√52−4⋅(1⋅−12)2⋅1
x=−5±√732x=-5±732
The result can be shown in multipleforms.
Exact Form:
x=−5±√732x=-5±732
Decimal Form:
x=1.77200187…,−6.77200187…x=1.77200187…,-6.77200187…
x2+5x−12=0x2+5x-12=0
Step-by-step explanation:
soo min here
Answer:
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring x2-5x-12
The first term is, x2 its coefficient is 1 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -5 .
-12 + 1 = -11
-6 + 2 = -4
-4 + 3 = -1
-3 + 4 = 1
-2 + 6 = 4
-1 + 12 = 11
Observation : No two such factors can be found !!