Solve the following quadratic equation: x^2 + 7x + 12 = 0. Show all your working and give the solutions in the form of a, b and c.

Q: Solve the following quadratic equation: x^2 + 7x + 12 = 0. Show all your working and give the solutions in the form of a, b and c.

Step 1: Write down the given quadratic equation\nx^2 + 7x + 12 = 0 Step 2: Compare the given equation with the general form ax^2 + bx + c = 0\na = 1, b = 7, c = 12 Step 3: Use the quadratic formula to find the solutions\nx = (-b ± √(b^2 - 4ac)) / 2a Step 4: Substitute the values of a, b and c into the quadratic formula\nx = (-(7) ± √((7)^2 - 4(1)(12))) / 2(1)\nx = (-7 ± √(49 - 48)) / 2\nx = (-7 ± √1) / 2 Step 5: Simplify the expression under the square root\nx = (-7 ± 1) / 2 Step 6: Find the two possible solutions\nx = (-7 + 1) / 2 or x = (-7 - 1) / 2\nx = -3 or x = -4 Step 7: Write the solutions in the form of a, b and c\na = -3, b = -4, c = 0

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Accepted Answer

Step 1: Write down the given quadratic equation
x^2 + 7x + 12 = 0 Step 2: Compare the given equation with the general form ax^2 + bx + c = 0
a = 1, b = 7, c = 12 Step 3: Use the quadratic formula to find the solutions
x = (-b ± √(b^2 - 4ac)) / 2a Step 4: Substitute the values of a, b and c into the quadratic formula
x = (-(7) ± √((7)^2 - 4(1)(12))) / 2(1)
x = (-7 ± √(49 - 48)) / 2
x = (-7 ± √1) / 2 Step 5: Simplify the expression under the square root
x = (-7 ± 1) / 2 Step 6: Find the two possible solutions
x = (-7 + 1) / 2 or x = (-7 - 1) / 2
x = -3 or x = -4 Step 7: Write the solutions in the form of a, b and c
a = -3, b = -4, c = 0

CBSE · Class 10 · Mathematics · Quadratic EquationsSolve the following quadratic equation: x^2 + 7x + 12 = 0. Show all your working and give the solutions in the form of a, b and c.

Step 1: Write down the given quadratic equation\nx^2 + 7x + 12 = 0

Step 2: Compare the given equation with the general form ax^2 + bx + c = 0\na = 1, b = 7, c = 12

Step 3: Use the quadratic formula to find the solutions\nx = (-b ± √(b^2 - 4ac)) / 2a

Step 4: Substitute the values of a, b and c into the quadratic formula\nx = (-(7) ± √((7)^2 - 4(1)(12))) / 2(1)\nx = (-7 ± √(49 - 48)) / 2\nx = (-7 ± √1) / 2

Step 5: Simplify the expression under the square root\nx = (-7 ± 1) / 2

Step 6: Find the two possible solutions\nx = (-7 + 1) / 2 or x = (-7 - 1) / 2\nx = -3 or x = -4

Step 7: Write the solutions in the form of a, b and c\na = -3, b = -4, c = 0