Question

Fill in the boxes below and find the quadratic equation whose roots are 1 and -4. ​

Answer 1

Answer:

• Roots are - 1 and - 4

• Sum of roots = - 1 - 4 = - 5

• Product of roots = (-1)(-4) =4

Required equation is

$x^{2}$ - (sum of roots) x + Product of roots = 0

=> $x^{2}$ - (-5)x +4 =0

=> $x^{2}$ +5x + 4 = 0

Answer 2

Answer:

: The equation can be obtained by the formula

x^ 2 -( Box+ Box)x+ Box* Box* Box=0

therefore x^ 2 -( boxed 1 + Box)x+ Box* Box=0

therefore x^ 2 + Box x- Box=0 is the required quadratic equation.