what is x 2 3x 18 0

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what is x 2 3x 18 0 To solve the equation factor x 2 3x 18 using formula x 2 left a b right x ab left x a right left x b right To find a and b set up a system to be solved

Algebra Solve by Completing the Square x 2 3x 18 0 x2 3x 18 0 x 2 3 x 18 0 Add 18 18 to both sides of the equation x2 3x 18 x 2 3 x 18 To create a trinomial square on the left side of the equation find a value that is equal to Solve Using the Quadratic Formula x 2 3x 18 0 x2 3x 18 0 x 2 3 x 18 0 Use the quadratic formula to find the solutions b b2 4 ac 2a b b 2 4 a c 2 a Substitute the values a 1 a 1 b 3 b 3 and c 18 c 18 into the quadratic formula and solve for x x

what is x 2 3x 18 0

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The quadratic formula gives two solutions one when is addition and one when it is subtraction This equation is in standard form ax 2 bx c 0 Substitute 1 for a 3 for b and 18 for c in the quadratic formula frac b sqrt b 2 4ac 2a Now solve the equation x frac 3 3 sqrt 7 i 2 when is plus X 2 x msquare log msquare sqrt square nthroot msquare square le ge frac msquare msquare cdot div x circ pi left square right frac d dx frac partial partial x int int msquare msquare lim sum infty theta f circ g f x

The first term is x2 its coefficient is 1 The middle term is 3x its coefficient is 3 The last term the constant is 18 Step 1 Multiply the coefficient of the first term by the constant 1 18 18 Step 2 Find two factors of 18 whose sum equals the coefficient of the middle term which is 3 Explanation x 2 3x 18 We can Split the Middle Term of this expression to factorise it In this technique if we have to factorise an expression like ax 2 bx c we need to think of 2 numbers such that N 1 N 2 a c 1 18 18 AND N 1 N 2 b 3

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To solve the equation factor x 2 3x 18 using formula x 2 left a b right x ab left x a right left x b right To find a and b set up a system to be solved This means we have factorised the equation to x 3 x 6 0 To then solve the equations for the solutions to x we must put each bracket equal to 0 as that is the only way to produce 0 when two things are multiplied together So if x 6 0 then x 6 and when x 3 0 x must be 3

Factor x 2 3x 18 x2 3x 18 x 2 3 x 18 Consider the form x2 bx c x 2 b x c Find a pair of integers whose product is c c and whose sum is b b In this case whose product is 18 18 and whose sum is 3 3 6 3 6 3 Write the factored form using these integers x 6 x 3 To solve the equation factor x 2 3x 18 using formula x 2 left a b right x ab left x a right left x b right To find a and b set up a system to be solved

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what is x 2 3x 18 0 - X 2 3x 18 left x 6 right left x left 3 right right Factor the original expression using ax 2 bx c a left x x 1 right left x x 2 right Substitute 6 for x 1 and 3 for x 2